diff --git a/tests/coverage/priv.S b/tests/coverage/priv.S
index 4be1d4091..f728a007e 100644
--- a/tests/coverage/priv.S
+++ b/tests/coverage/priv.S
@@ -56,16 +56,38 @@ sretdone:
     csrw satp, zero
 
     # STIMECMP from S mode
-    li t0, 1
+    # 1st is when MENVCFG_STCE is cleared
+    li a0, 3
+    ecall # starts in M-mode
+    csrw menvcfg, x0
+    li a0, 1
     ecall   # enter S-mode
     csrw stimecmp, zero
-    li t0, 3
+    li a0, 3
     ecall   # return to M-mode
     csrsi mcounteren, 2 # mcounteren_tm = 1
-    li t0, 1
+    li a0, 1
     ecall   # supervisor mode again
     csrw stimecmp, zero
-    li t0, 3
+    li a0, 3
+    ecall  # machine mode again
+
+    # STIMECMP from S mode
+    # 2nd is when MENVCFG_STCE is set
+    csrci mcounteren, 2 # mcounteren_tm = 0
+    li t0, 1
+    slli t0, t0, 63
+    csrw menvcfg, t0
+    li a0, 1
+    ecall   # enter S-mode
+    csrw stimecmp, zero
+    li a0, 3
+    ecall   # return to M-mode
+    csrsi mcounteren, 2 # mcounteren_tm = 1
+    li a0, 1
+    ecall   # supervisor mode again
+    csrw stimecmp, zero
+    li a0, 3
     ecall  # machine mode again