diff --git a/Jenkinsfile b/Jenkinsfile
index 26534a4286..b1dce6866b 100644
--- a/Jenkinsfile
+++ b/Jenkinsfile
@@ -27,7 +27,7 @@ def runWinTests(String prefix = "") {
             SET \"PATH=C:\\PROGRA~1\\Microsoft^ MPI\\Bin;%PATH%\"
             SET \"MPI_HOME=C:\\PROGRA~1\\Microsoft^ MPI\\Bin\"
             SET \"PATH=C:\\Users\\jenkins\\Anaconda3;%PATH%\"
-            mingw32-make -j${env.PARALLEL} build
+            make -j${env.PARALLEL} build
             python ${prefix}runCmdStanTests.py -j${env.PARALLEL} src/test/interface
         """
     }
diff --git a/make/program b/make/program
index e9814a588c..6ba68d4ea5 100644
--- a/make/program
+++ b/make/program
@@ -69,7 +69,7 @@ ifeq ($(OS),Windows_NT)
 ifeq (,$(findstring tbb.dll, $(notdir $(shell where tbb.dll))))
 	@echo 'Intel TBB is not in PATH.'
 	@echo 'Consider calling '
-	@echo '$(HELP_MAKE) install-tbb'
+	@echo '$(MAKE) install-tbb'
 	@echo 'to avoid copying Intel TBB library files.'
 	@if ! [[ -f "$(@D)/tbb.dll" ]]; then \
 		cp -v $(TBB_TARGETS) $(@D); \
diff --git a/makefile b/makefile
index 8b8db577bb..9b504844e7 100644
--- a/makefile
+++ b/makefile
@@ -151,20 +151,13 @@ include make/command
 
 CMDSTAN_VERSION := 2.34.1
 
-ifeq ($(OS),Windows_NT)
-HELP_MAKE=mingw32-make
-else
-HELP_MAKE=make
-endif
-
-
 .PHONY: help
 help:
 	@echo '--------------------------------------------------------------------------------'
 	@echo 'CmdStan v$(CMDSTAN_VERSION) help'
 	@echo ''
 	@echo '  Build CmdStan utilities:'
-	@echo '    > $(HELP_MAKE) build'
+	@echo '    > $(MAKE) build'
 	@echo ''
 	@echo '    This target will:'
 	@echo '    1. Install the Stan compiler bin/stanc$(EXE) from stanc3 binaries.'
@@ -175,13 +168,13 @@ help:
 	@echo ''
 	@echo '    Note: to build using multiple cores, use the -j option to make, e.g., '
 	@echo '    for 4 cores:'
-	@echo '    > $(HELP_MAKE) build -j4'
+	@echo '    > $(MAKE) build -j4'
 	@echo ''
 ifeq ($(OS),Windows_NT)
 	@echo '    On Windows it is recommended to include with the PATH environment'
 	@echo '    variable the directory of the Intel TBB library.'
 	@echo '    This can be setup permanently for the user with'
-	@echo '    > mingw32-make install-tbb'
+	@echo '    > make install-tbb'
 endif
 	@echo ''
 	@echo '  Build a Stan program:'
@@ -212,7 +205,7 @@ endif
 	@echo '  Example - bernoulli model: examples/bernoulli/bernoulli.stan'
 	@echo ''
 	@echo '    1. Build the model:'
-	@echo '       > $(HELP_MAKE) examples/bernoulli/bernoulli$(EXE)'
+	@echo '       > $(MAKE) examples/bernoulli/bernoulli$(EXE)'
 	@echo '    2. Run the model:'
 	@echo '       > examples/bernoulli/bernoulli$(EXE) sample data file=examples/bernoulli/bernoulli.data.R'
 	@echo '    3. Look at the samples:'
@@ -269,7 +262,7 @@ ifeq ($(OS),Windows_NT)
 		@echo 'NOTE: Please add $(TBB_BIN_ABSOLUTE_PATH) to your PATH variable.'
 		@echo 'You may call'
 		@echo ''
-		@echo '$(HELP_MAKE) install-tbb'
+		@echo '$(MAKE) install-tbb'
 		@echo ''
 		@echo 'to automatically update your user configuration.'
 endif
diff --git a/runCmdStanTests.py b/runCmdStanTests.py
index ef18645f28..4c7415bf5f 100755
--- a/runCmdStanTests.py
+++ b/runCmdStanTests.py
@@ -54,8 +54,6 @@ def mungeName(name):
 
 def doCommand(command):
     print('------------------------------------------------------------')
-    if isWin() and command.startswith('make '):
-      command = command.replace('make ', 'mingw32-make ')
     print('%s' % command)
     p1 = subprocess.Popen(command,shell=True)
     p1.wait()