diff --git a/tests/suites/test_suite_mpi.data b/tests/suites/test_suite_mpi.data
index b9e00f1..36ae8d6 100644
--- a/tests/suites/test_suite_mpi.data
+++ b/tests/suites/test_suite_mpi.data
@@ -665,6 +665,12 @@
 Test bit set (Add above existing limbs with a 1)
 mpi_set_bit:10:"49979687":80:1:10:"1208925819614629224685863"
 
+Test bit set (Bit index larger than 31 with a 0)
+mpi_set_bit:16:"FFFFFFFFFFFFFFFF":32:0:16:"FFFFFFFEFFFFFFFF"
+
+Test bit set (Bit index larger than 31 with a 1)
+mpi_set_bit:16:"00":32:1:16:"0100000000"
+
 MPI Selftest
 depends_on:POLARSSL_SELF_TEST
 mpi_selftest: