diff --git a/builtin/rev-parse.c b/builtin/rev-parse.c
index 1967bafba4..e08677e559 100644
--- a/builtin/rev-parse.c
+++ b/builtin/rev-parse.c
@@ -545,6 +545,7 @@ int cmd_rev_parse(int argc, const char **argv, const char *prefix)
 	unsigned int flags = 0;
 	const char *name = NULL;
 	struct object_context unused;
+	struct strbuf buf = STRBUF_INIT;
 
 	if (argc > 1 && !strcmp("--parseopt", argv[1]))
 		return cmd_parseopt(argc - 1, argv + 1, prefix);
@@ -599,7 +600,9 @@ int cmd_rev_parse(int argc, const char **argv, const char *prefix)
 		if (!strcmp(arg, "--git-path")) {
 			if (!argv[i + 1])
 				die("--git-path requires an argument");
-			puts(git_path("%s", argv[i + 1]));
+			strbuf_reset(&buf);
+			puts(relative_path(git_path("%s", argv[i + 1]),
+					   prefix, &buf));
 			i++;
 			continue;
 		}
@@ -831,8 +834,9 @@ int cmd_rev_parse(int argc, const char **argv, const char *prefix)
 				continue;
 			}
 			if (!strcmp(arg, "--git-common-dir")) {
-				const char *pfx = prefix ? prefix : "";
-				puts(prefix_filename(pfx, strlen(pfx), get_git_common_dir()));
+				strbuf_reset(&buf);
+				puts(relative_path(get_git_common_dir(),
+						   prefix, &buf));
 				continue;
 			}
 			if (!strcmp(arg, "--is-inside-git-dir")) {
@@ -855,7 +859,9 @@ int cmd_rev_parse(int argc, const char **argv, const char *prefix)
 					die(_("Could not read the index"));
 				if (the_index.split_index) {
 					const unsigned char *sha1 = the_index.split_index->base_sha1;
-					puts(git_path("sharedindex.%s", sha1_to_hex(sha1)));
+					const char *path = git_path("sharedindex.%s", sha1_to_hex(sha1));
+					strbuf_reset(&buf);
+					puts(relative_path(path, prefix, &buf));
 				}
 				continue;
 			}
@@ -907,6 +913,7 @@ int cmd_rev_parse(int argc, const char **argv, const char *prefix)
 			continue;
 		verify_filename(prefix, arg, 1);
 	}
+	strbuf_release(&buf);
 	if (verify) {
 		if (revs_count == 1) {
 			show_rev(type, sha1, name);
diff --git a/t/t1500-rev-parse.sh b/t/t1500-rev-parse.sh
index 8b62ed85b3..9ed8b8ccba 100755
--- a/t/t1500-rev-parse.sh
+++ b/t/t1500-rev-parse.sh
@@ -88,4 +88,32 @@ test_rev_parse -C work -g ../repo.git -b t 'GIT_DIR=../repo.git, core.bare = tru
 
 test_rev_parse -C work -g ../repo.git -b u 'GIT_DIR=../repo.git, core.bare undefined' false false true ''
 
+test_expect_success 'git-common-dir from worktree root' '
+	echo .git >expect &&
+	git rev-parse --git-common-dir >actual &&
+	test_cmp expect actual
+'
+
+test_expect_success 'git-common-dir inside sub-dir' '
+	mkdir -p path/to/child &&
+	test_when_finished "rm -rf path" &&
+	echo "$(git -C path/to/child rev-parse --show-cdup).git" >expect &&
+	git -C path/to/child rev-parse --git-common-dir >actual &&
+	test_cmp expect actual
+'
+
+test_expect_success 'git-path from worktree root' '
+	echo .git/objects >expect &&
+	git rev-parse --git-path objects >actual &&
+	test_cmp expect actual
+'
+
+test_expect_success 'git-path inside sub-dir' '
+	mkdir -p path/to/child &&
+	test_when_finished "rm -rf path" &&
+	echo "$(git -C path/to/child rev-parse --show-cdup).git/objects" >expect &&
+	git -C path/to/child rev-parse --git-path objects >actual &&
+	test_cmp expect actual
+'
+
 test_done
diff --git a/t/t1700-split-index.sh b/t/t1700-split-index.sh
index 292a0720fc..6096f2c630 100755
--- a/t/t1700-split-index.sh
+++ b/t/t1700-split-index.sh
@@ -200,4 +200,20 @@ EOF
 	test_cmp expect actual
 '
 
+test_expect_success 'rev-parse --shared-index-path' '
+	test_create_repo split-index &&
+	(
+		cd split-index &&
+		git update-index --split-index &&
+		echo .git/sharedindex* >expect &&
+		git rev-parse --shared-index-path >actual &&
+		test_cmp expect actual &&
+		mkdir subdirectory &&
+		cd subdirectory &&
+		echo ../.git/sharedindex* >expect &&
+		git rev-parse --shared-index-path >actual &&
+		test_cmp expect actual
+	)
+'
+
 test_done
diff --git a/t/t2027-worktree-list.sh b/t/t2027-worktree-list.sh
index 465eeeacd3..848da5f368 100755
--- a/t/t2027-worktree-list.sh
+++ b/t/t2027-worktree-list.sh
@@ -14,10 +14,18 @@ test_expect_success 'rev-parse --git-common-dir on main worktree' '
 	test_cmp expected actual &&
 	mkdir sub &&
 	git -C sub rev-parse --git-common-dir >actual2 &&
-	echo sub/.git >expected2 &&
+	echo ../.git >expected2 &&
 	test_cmp expected2 actual2
 '
 
+test_expect_success 'rev-parse --git-path objects linked worktree' '
+	echo "$(git rev-parse --show-toplevel)/.git/objects" >expect &&
+	test_when_finished "rm -rf linked-tree && git worktree prune" &&
+	git worktree add --detach linked-tree master &&
+	git -C linked-tree rev-parse --git-path objects >actual &&
+	test_cmp expect actual
+'
+
 test_expect_success '"list" all worktrees from main' '
 	echo "$(git rev-parse --show-toplevel) $(git rev-parse --short HEAD) [$(git symbolic-ref --short HEAD)]" >expect &&
 	test_when_finished "rm -rf here && git worktree prune" &&