diff --git a/tools/git/hooks/commit-msg b/tools/git/hooks/commit-msg
index c6ebcf342f17..4f7a69951752 100644
--- a/tools/git/hooks/commit-msg
+++ b/tools/git/hooks/commit-msg
@@ -33,11 +33,11 @@ skip_lint="${SKIP_LINT_COMMIT}"
 # Get the path to a file containing the commit message:
 commit_message="$1"
 
-# Determine root directory:
-root=$(git rev-parse --show-toplevel)
+# Resolve the location of the Git directory:
+git_dir=$(git rev-parse --absolute-git-dir)
 
 # Define the path to a report generated during the pre-commit hook:
-pre_commit_report="${root}/.git/hooks-cache/pre_commit_report.yml"
+pre_commit_report="${git_dir}/hooks-cache/pre_commit_report.yml"
 
 
 # FUNCTIONS #
diff --git a/tools/git/hooks/pre-commit b/tools/git/hooks/pre-commit
index 863afb345236..d5020bfbd6fe 100644
--- a/tools/git/hooks/pre-commit
+++ b/tools/git/hooks/pre-commit
@@ -50,6 +50,9 @@ skip_editorconfig="${SKIP_LINT_EDITORCONFIG}"
 # Determine root directory:
 root=$(git rev-parse --show-toplevel)
 
+# Resolve the location of the Git directory:
+git_dir=$(git rev-parse --absolute-git-dir)
+
 # Define the path to a utility for linting filenames:
 lint_filenames="${root}/lib/node_modules/@stdlib/_tools/lint/filenames/bin/cli"
 
@@ -81,7 +84,7 @@ cppcheck_tests_fixtures_suppressions_list="${root}/etc/cppcheck/suppressions.tes
 cppcheck_benchmarks_suppressions_list="${root}/etc/cppcheck/suppressions.benchmarks.txt"
 
 # Define the path to a directory for caching hook results:
-cache_dir="${root}/.git/hooks-cache"
+cache_dir="${git_dir}/hooks-cache"
 
 # Define the path to a file for storing hook results:
 cache_file="${cache_dir}/pre_commit_report.yml"
diff --git a/tools/git/hooks/pre-push b/tools/git/hooks/pre-push
index 57f2d9f7dafe..2a077010b9ae 100755
--- a/tools/git/hooks/pre-push
+++ b/tools/git/hooks/pre-push
@@ -59,8 +59,11 @@ GIT_CURRENT_BRANCH=$(git rev-parse --abbrev-ref HEAD)
 # Determine root directory:
 root=$(git rev-parse --show-toplevel)
 
+# Resolve the location of the Git directory:
+git_dir=$(git rev-parse --absolute-git-dir)
+
 # Define the path to a directory for caching hook results:
-cache_dir="${root}/.git/hooks-cache"
+cache_dir="${git_dir}/hooks-cache"
 
 # Define the path to a file for storing hook results:
 cache_file="${cache_dir}/pre_push_report.yml"