diff --git a/CMakeLists.txt b/CMakeLists.txt
index 852de0e127c1..fe55361cb965 100644
--- a/CMakeLists.txt
+++ b/CMakeLists.txt
@@ -111,7 +111,7 @@ endif()
 # TODO(jwnimmer-tri) On 2020-07-01 update GCC min to 7.5 here and in the bzl.
 set(MINIMUM_APPLE_CLANG_VERSION 11)
 set(MINIMUM_CLANG_VERSION 6)
-set(MINIMUM_GNU_VERSION 7.4)
+set(MINIMUM_GNU_VERSION 7.5)
 
 if(CMAKE_C_COMPILER_ID STREQUAL AppleClang)
   if(CMAKE_C_COMPILER_VERSION VERSION_LESS ${MINIMUM_APPLE_CLANG_VERSION})
diff --git a/setup/mac/source_distribution/install_prereqs.sh b/setup/mac/source_distribution/install_prereqs.sh
index 3de24f492519..7897272c8037 100755
--- a/setup/mac/source_distribution/install_prereqs.sh
+++ b/setup/mac/source_distribution/install_prereqs.sh
@@ -19,9 +19,6 @@ fi
 
 /usr/local/bin/brew update
 
-# TODO(jamiesnape): Remove the below line on or after 2020-07-01.
-/usr/local/bin/brew cask uninstall font-dejavu-sans 2>/dev/null || true
-
 # TODO(jamiesnape): Remove the lines uninstalling llvm@6 and llvm@9 on or after
 # 2020-08-01.
 if [[ -z "$(/usr/local/bin/brew uses --include-optional --installed llvm@6)" ]]; then
diff --git a/tools/workspace/cc/repository.bzl b/tools/workspace/cc/repository.bzl
index 5a630b2c9275..d8cf0ba2b9a2 100644
--- a/tools/workspace/cc/repository.bzl
+++ b/tools/workspace/cc/repository.bzl
@@ -135,8 +135,8 @@ def _impl(repository_ctx):
 
     elif compiler_id == "GNU":
         if compiler_version_major < 7 or (compiler_version_major == 7 and
-                                          compiler_version_minor < 4):
-            fail("GNU compiler version {}.{} is less than 7.4.".format(
+                                          compiler_version_minor < 5):
+            fail("GNU compiler version {}.{} is less than 7.5.".format(
                 compiler_version_major,
                 compiler_version_minor,
             ))