diff --git a/contrib/completion/git-completion.bash b/contrib/completion/git-completion.bash
index 9dd0412ecc1c5e..6df1e8013d7ef3 100644
--- a/contrib/completion/git-completion.bash
+++ b/contrib/completion/git-completion.bash
@@ -1508,7 +1508,7 @@ _git_checkout ()
 		local prevword prevword="${words[cword-1]}"
 
 		case "$prevword" in
-			-b|-B)
+			-b|-B|--orphan)
 				# Complete local branches (and DWIM branch
 				# remote branch names) for an option argument
 				# specifying a new branch name. This is for
@@ -1522,14 +1522,14 @@ _git_checkout ()
 		esac
 
 		# At this point, we've already handled special completion for
-		# the arguments to -b/-B. There are 3 main things left we can
-		# possibly complete:
-		# 1) a start-point for -b/-B or -d/--detach
+		# the arguments to -b/-B, and --orphan. There are 3 main
+		# things left we can possibly complete:
+		# 1) a start-point for -b/-B, -d/--detach, or --orphan
 		# 2) a remote head, for --track
 		# 3) an arbitrary reference, possibly including DWIM names
 		#
 
-		if [ -n "$(__git_find_on_cmdline "-b -B -d --detach")" ]; then
+		if [ -n "$(__git_find_on_cmdline "-b -B -d --detach --orphan")" ]; then
 			__git_complete_refs --mode="refs"
 		elif [ -n "$(__git_find_on_cmdline "--track")" ]; then
 			__git_complete_refs --mode="remote-heads"
@@ -2387,7 +2387,7 @@ _git_switch ()
 		local prevword prevword="${words[cword-1]}"
 
 		case "$prevword" in
-			-c|-C)
+			-c|-C|--orphan)
 				# Complete local branches (and DWIM branch
 				# remote branch names) for an option argument
 				# specifying a new branch name. This is for
@@ -2400,8 +2400,15 @@ _git_switch ()
 				;;
 		esac
 
+		# Unlike in git checkout, git switch --orphan does not take
+		# a start point. Thus we really have nothing to complete after
+		# the branch name.
+		if [ -n "$(__git_find_on_cmdline "--orphan")" ]; then
+			return
+		fi
+
 		# At this point, we've already handled special completion for
-		# -c/-C. There are 3 main things left to
+		# -c/-C, and --orphan. There are 3 main things left to
 		# complete:
 		# 1) a start-point for -c/-C or -d/--detach
 		# 2) a remote head, for --track
diff --git a/t/t9902-completion.sh b/t/t9902-completion.sh
index 7a0927b51fdb9a..ce7b46c9d6b7ec 100755
--- a/t/t9902-completion.sh
+++ b/t/t9902-completion.sh
@@ -1669,15 +1669,13 @@ test_expect_success 'git switch - with --orphan completes local branch names and
 	EOF
 '
 
-#TODO: switch --orphan does not take a start-point and thus has nothing to complete
-test_expect_failure 'git switch - --orphan with branch already provided completes nothing else' '
+test_expect_success 'git switch - --orphan with branch already provided completes nothing else' '
 	test_completion "git switch --orphan master " <<-\EOF
 
 	EOF
 '
 
-#TODO: --orphan argument completion should not include all references
-test_expect_failure 'git checkout - with --orphan completes local branch names and unique remote branch names' '
+test_expect_success 'git checkout - with --orphan completes local branch names and unique remote branch names' '
 	test_completion "git checkout --orphan " <<-\EOF
 	branch-in-other Z
 	master Z
@@ -1686,8 +1684,7 @@ test_expect_failure 'git checkout - with --orphan completes local branch names a
 	EOF
 '
 
-#TODO: checkout --orphan start-point completion should not included DWIM remote unique branch names
-test_expect_failure 'git checkout - --orphan with branch already provided completes local refs for a start-point' '
+test_expect_success 'git checkout - --orphan with branch already provided completes local refs for a start-point' '
 	test_completion "git checkout --orphan master " <<-\EOF
 	HEAD Z
 	master Z