diff --git a/tests/tcg/aarch64/Makefile.target b/tests/tcg/aarch64/Makefile.target
index 9efe2f81ad..16ddcf4f88 100644
--- a/tests/tcg/aarch64/Makefile.target
+++ b/tests/tcg/aarch64/Makefile.target
@@ -83,7 +83,8 @@ test-aes: CFLAGS += -O -march=armv8-a+aes
 test-aes: test-aes-main.c.inc
 
 # Vector SHA1
-sha1-vector: CFLAGS=-O3
+# Work around compiler false-positive warning, as we do for the 'sha1' test
+sha1-vector: CFLAGS=-O3 -Wno-stringop-overread
 sha1-vector: sha1.c
 	$(CC) $(CFLAGS) $(EXTRA_CFLAGS) $< -o $@ $(LDFLAGS)
 run-sha1-vector: sha1-vector run-sha1
diff --git a/tests/tcg/arm/Makefile.target b/tests/tcg/arm/Makefile.target
index 99a953b667..6189d7a0e2 100644
--- a/tests/tcg/arm/Makefile.target
+++ b/tests/tcg/arm/Makefile.target
@@ -61,7 +61,8 @@ endif
 ARM_TESTS += commpage
 
 # Vector SHA1
-sha1-vector: CFLAGS=-O3
+# Work around compiler false-positive warning, as we do for the 'sha1' test
+sha1-vector: CFLAGS=-O3 -Wno-stringop-overread
 sha1-vector: sha1.c
 	$(CC) $(CFLAGS) $(EXTRA_CFLAGS) $< -o $@ $(LDFLAGS)
 run-sha1-vector: sha1-vector run-sha1
diff --git a/tests/tcg/hexagon/Makefile.target b/tests/tcg/hexagon/Makefile.target
index e5182c01d8..4dfc39bc98 100644
--- a/tests/tcg/hexagon/Makefile.target
+++ b/tests/tcg/hexagon/Makefile.target
@@ -18,7 +18,7 @@
 # Hexagon doesn't support gdb, so skip the EXTRA_RUNS
 EXTRA_RUNS =
 
-CFLAGS += -Wno-incompatible-pointer-types -Wno-undefined-internal
+CFLAGS += -Wno-incompatible-pointer-types -Wno-undefined-internal -Wno-unknown-warning-option
 CFLAGS += -fno-unroll-loops -fno-stack-protector
 
 HEX_SRC=$(SRC_PATH)/tests/tcg/hexagon
diff --git a/tests/tcg/multiarch/Makefile.target b/tests/tcg/multiarch/Makefile.target
index 688a6be203..c769a7d69d 100644
--- a/tests/tcg/multiarch/Makefile.target
+++ b/tests/tcg/multiarch/Makefile.target
@@ -45,6 +45,14 @@ vma-pthread: LDFLAGS+=-pthread
 sigreturn-sigmask: CFLAGS+=-pthread
 sigreturn-sigmask: LDFLAGS+=-pthread
 
+# GCC versions 12/13/14/15 at least incorrectly complain about
+# "'SHA1Transform' reading 64 bytes from a region of size 0"; see the gcc bug
+# https://gcc.gnu.org/bugzilla/show_bug.cgi?id=106709
+# Since this is just a standard piece of library code we've borrowed for a
+# TCG test case, suppress the warning rather than trying to modify the
+# code to work around the compiler.
+sha1: CFLAGS+=-Wno-stringop-overread
+
 # The vma-pthread seems very sensitive on gitlab and we currently
 # don't know if its exposing a real bug or the test is flaky.
 ifneq ($(GITLAB_CI),)