diff --git a/tests/testthat/test-cgam.R b/tests/testthat/test-cgam.R
index 8f67f879a..b902894d1 100644
--- a/tests/testthat/test-cgam.R
+++ b/tests/testthat/test-cgam.R
@@ -1,5 +1,4 @@
 skip_if_not_installed("cgam")
-skip_if_not(getRversion() >= "4.0.0")
 
 data(cubic, package = "cgam")
 incr.conv <- cgam::incr.conv
diff --git a/tests/testthat/test-emmeans.R b/tests/testthat/test-emmeans.R
index e14c5b0eb..09f8fdd7e 100644
--- a/tests/testthat/test-emmeans.R
+++ b/tests/testthat/test-emmeans.R
@@ -1,26 +1,3 @@
-## These tests fail on current R-devel (win-builder), not sure why
-
-# * using R Under development (unstable) (2023-03-14 r83979 ucrt)
-# * using platform: x86_64-w64-mingw32 (64-bit)
-# * R was compiled by
-#     gcc.exe (GCC) 12.2.0
-#     GNU Fortran (GCC) 12.2.0
-# * running under: Windows Server 2022 x64 (build 20348)
-
-# ── Failure ('test-emmeans.R:14:5'): emmeans ────────────────────────────────────
-# get_statistic(EList)$Statistic (`actual`) not equal to c(1.449, -0.377, -2.346, 1.243, 2.717, 1.393) (`expected`).
-
-#   `actual`: 1.2429  2.7166  1.3925 1.2429 2.7166 1.3925
-# `expected`: 1.4490 -0.3770 -2.3460 1.2430 2.7170 1.3930
-# ── Failure ('test-emmeans.R:15:5'): emmeans ────────────────────────────────────
-# get_statistic(EList)$Statistic[1:3] (`actual`) not equal to get_statistic(E)$Statistic (`expected`).
-
-#   `actual`: 1.2  2.7  1.4
-# `expected`: 1.4 -0.4 -2.3
-
-# [ FAIL 2 | WARN 0 | SKIP 25 | PASS 3366 ]
-
-skip_if(getRversion() > "4.2.2")
 skip_if_not_installed("emmeans")
 
 test_that("emmeans", {
@@ -29,9 +6,7 @@ test_that("emmeans", {
   )
 
   EList <- emmeans::emmeans(m, pairwise ~ cyl, type = "resp")
-
   E <- emmeans::emmeans(m, ~cyl, type = "resp")
-
   C <- emmeans::contrast(E, method = "pairwise")
 
   expect_identical(find_statistic(EList), "z-statistic")
diff --git a/tests/testthat/test-get_data.R b/tests/testthat/test-get_data.R
index d6d63261c..4ee3b9bc7 100644
--- a/tests/testthat/test-get_data.R
+++ b/tests/testthat/test-get_data.R
@@ -443,7 +443,6 @@ test_that("workaround bug in estimatr", {
 
 test_that("get_data colnames", {
   skip_on_os("windows")
-  skip_if_not(getRversion() >= "4.0.0")
   skip_if_not_installed("brms")
   m <- suppressMessages(suppressWarnings(brms::brm(mpg ~ hp + mo(cyl), data = mtcars, refresh = 0, iter = 200, chains = 1)))
   out <- get_data(m)
diff --git a/tests/testthat/test-get_datagrid.R b/tests/testthat/test-get_datagrid.R
index 0b051d348..ca30fcf1b 100644
--- a/tests/testthat/test-get_datagrid.R
+++ b/tests/testthat/test-get_datagrid.R
@@ -1,5 +1,3 @@
-skip_if_not(getRversion() >= "4.0.0")
-
 m1 <- lm(hp ~ ordered(cyl), data = mtcars)
 m2 <- lm(hp ~ as.ordered(cyl), data = mtcars)
 m3 <- lm(hp ~ as.factor(cyl), data = mtcars)
@@ -155,7 +153,6 @@ test_that("get_datagrid - models", {
     "Some package uses `formula.tools::as.character.formula()` which breaks `find_formula()`."
   )
 
-  skip_if(getRversion() > "4.3.3")
   skip_if_not_installed("gamm4")
   skip_if_not_installed("glmmTMB")
   skip_if_not_installed("mgcv")
diff --git a/tests/testthat/test-get_predicted.R b/tests/testthat/test-get_predicted.R
index 15e311e03..18536689d 100644
--- a/tests/testthat/test-get_predicted.R
+++ b/tests/testthat/test-get_predicted.R
@@ -200,7 +200,6 @@ test_that("MASS::rlm", {
 # =========================================================================
 
 test_that("get_predicted - lmerMod", {
-  skip_if(getRversion() > "4.3.3")
   suppressWarnings(skip_if_not_installed("glmmTMB"))
   skip_if_not_installed("lme4")
   skip_if_not_installed("merTools")
@@ -289,7 +288,6 @@ test_that("get_predicted - lmerMod (log)", {
 
 
 test_that("get_predicted - merMod", {
-  skip_if(getRversion() > "4.3.3")
   skip_if_not_installed("lme4")
   skip_if_not_installed("glmmTMB")
   x <- lme4::glmer(vs ~ am + (1 | cyl), data = mtcars, family = "binomial")
@@ -312,7 +310,6 @@ test_that("get_predicted - merMod", {
 
 
 test_that("get_predicted - glmmTMB", {
-  skip_if(getRversion() > "4.3.3")
   skip_if_not_installed("glmmTMB")
   x <- glmmTMB::glmmTMB(mpg ~ am + (1 | cyl), data = mtcars)
 
@@ -630,7 +627,6 @@ test_that("brms: `type` in ellipsis used to produce the wrong intervals", {
 
 
 test_that("zero-inflation stuff works", {
-  skip_if(getRversion() > "4.3.3")
   skip_if_not_installed("glmmTMB")
   skip_if_not_installed("pscl")
 
diff --git a/tests/testthat/test-get_variance.R b/tests/testthat/test-get_variance.R
index 0014f0e43..e0e02b36c 100644
--- a/tests/testthat/test-get_variance.R
+++ b/tests/testthat/test-get_variance.R
@@ -359,7 +359,6 @@ test_that("random effects CIs, poly slope", {
 })
 
 test_that("fixed effects variance for rank-deficient models, #765", {
-  skip_if(getRversion() > "4.3.3")
   skip_if_not_installed("glmmTMB", minimum_version = "1.1.8")
   set.seed(101)
   dd <- data.frame(
diff --git a/tests/testthat/test-glmmTMB.R b/tests/testthat/test-glmmTMB.R
index 40d33ab3b..b1f3f364c 100644
--- a/tests/testthat/test-glmmTMB.R
+++ b/tests/testthat/test-glmmTMB.R
@@ -1,5 +1,4 @@
 skip_on_os("mac") # error: FreeADFunObject
-skip_if_not(getRversion() >= "4.0.0")
 skip_if_not_installed("TMB")
 skip_if_not_installed("glmmTMB")
 
diff --git a/tests/testthat/test-htest.R b/tests/testthat/test-htest.R
index fd1c529ce..304a9fb4d 100644
--- a/tests/testthat/test-htest.R
+++ b/tests/testthat/test-htest.R
@@ -21,7 +21,6 @@ test_that("model_info.t-test", {
 
 # One sample
 test_that("get_data.t-test, one-sample", {
-  skip_if(getRversion() < "4.0.0")
   tt1 <- t.test(mtcars$mpg)
   tt2 <- t.test(mtcars$mpg ~ 1)
   expect_equal(
diff --git a/tests/testthat/test-is_converged.R b/tests/testthat/test-is_converged.R
index 5591679db..82b431839 100644
--- a/tests/testthat/test-is_converged.R
+++ b/tests/testthat/test-is_converged.R
@@ -1,5 +1,4 @@
 skip_if_not_installed("lme4")
-skip_if_not(getRversion() >= "4.0.0")
 
 data(cbpp, package = "lme4")
 data(sleepstudy, package = "lme4")
@@ -27,7 +26,6 @@ test_that("is_converged", {
 
 skip_on_os("mac") # error: FreeADFunObject
 skip_on_cran() ## FIXME: check with win-devel
-skip_if(getRversion() > "4.3.3")
 skip_if_not_installed("glmmTMB")
 skip_if_not_installed("TMB")
 
diff --git a/tests/testthat/test-mlogit.R b/tests/testthat/test-mlogit.R
index aa3b0f385..30c0e08ec 100644
--- a/tests/testthat/test-mlogit.R
+++ b/tests/testthat/test-mlogit.R
@@ -37,12 +37,10 @@ test_that("find_response", {
 })
 
 test_that("get_response", {
-  skip_if_not(getRversion() >= "3.6.0")
   expect_identical(get_response(m1), as.vector(Fish$mode))
 })
 
 test_that("get_data", {
-  skip_if_not(getRversion() >= "3.6.0")
   expect_identical(nrow(get_data(m1, verbose = FALSE)), 4728L)
   expect_identical(nrow(get_data(m2, verbose = FALSE)), 4728L)
 
diff --git a/tests/testthat/test-mmrm.R b/tests/testthat/test-mmrm.R
index 9e3f37f66..8357beda5 100644
--- a/tests/testthat/test-mmrm.R
+++ b/tests/testthat/test-mmrm.R
@@ -1,5 +1,4 @@
 skip_if_not_installed("mmrm")
-skip_if(getRversion() < "4.0.0")
 
 # see https://github.com/georgheinze/logistf/pull/54
 skip_if(
diff --git a/tests/testthat/test-model_data.R b/tests/testthat/test-model_data.R
index 5fbbe4943..162a7b967 100644
--- a/tests/testthat/test-model_data.R
+++ b/tests/testthat/test-model_data.R
@@ -1,7 +1,6 @@
 skip_if_not_installed("splines")
 skip_if_not_installed("TMB")
 skip_if_not_installed("glmmTMB")
-skip_if_not(getRversion() >= "4.0.0")
 
 m1 <- lm(Sepal.Length ~ Species + splines::ns(Petal.Width), data = iris)
 m2 <- lm(Sepal.Length ~ Species + splines::ns(Petal.Width, knots = 2), data = iris)
diff --git a/tests/testthat/test-null_model.R b/tests/testthat/test-null_model.R
index 4aca85aaa..8d359d12e 100644
--- a/tests/testthat/test-null_model.R
+++ b/tests/testthat/test-null_model.R
@@ -1,8 +1,6 @@
 skip_if_not_installed("glmmTMB")
 skip_if_not_installed("lme4")
 skip_if_not_installed("TMB")
-skip_if_not(getRversion() >= "4.0.0")
-
 
 test_that("null_model with offset", {
   m1 <- suppressWarnings(lme4::glmer.nb(mpg ~ disp + (1 | cyl) + offset(log(wt)), data = mtcars))