diff --git a/ivtest/ivltests/parameter_1bit.v b/ivtest/ivltests/parameter_1bit.v
new file mode 100644
index 000000000..bf59e5b5c
--- /dev/null
+++ b/ivtest/ivltests/parameter_1bit.v
@@ -0,0 +1,26 @@
+// Check that parameters with a implicit and 1-bit range type are handled correctly
+
+module test #(
+  // This should get truncated to 1'b1
+  parameter [0:0] P = 2'b11
+);
+
+  reg failed = 1'b0;
+
+  `define check(expr, val) \
+    if (expr !== val) begin \
+      $display("FAILED: `%s`, expected %0d, got %0d", `"expr`", val, expr); \
+      failed = 1'b1; \
+    end
+
+  initial begin
+    `check($bits(P), 1);
+    `check(P + 1'b1, 1'b0);
+    `check(P, 1'b1);
+
+    if (!failed) begin
+      $display("PASSED");
+    end
+  end
+
+endmodule
diff --git a/ivtest/ivltests/parameter_scalar.v b/ivtest/ivltests/parameter_scalar.v
new file mode 100644
index 000000000..069193e60
--- /dev/null
+++ b/ivtest/ivltests/parameter_scalar.v
@@ -0,0 +1,26 @@
+// Check that parameters with a scalar type are handled correctly
+
+module test #(
+  // This should get truncated to 1'b1
+  parameter bit P = 2'b11
+);
+
+  bit failed = 1'b0;
+
+  `define check(expr, val) \
+    if (expr !== val) begin \
+      $display("FAILED: `%s`, expected %0d, got %0d", `"expr`", val, expr); \
+      failed = 1'b1; \
+    end
+
+  initial begin
+    `check($bits(P), 1);
+    `check(P + 1'b1, 1'b0);
+    `check(P, 1'b1);
+
+    if (!failed) begin
+      $display("PASSED");
+    end
+  end
+
+endmodule
diff --git a/ivtest/regress-sv.list b/ivtest/regress-sv.list
index 65140e653..2aa6adcbe 100644
--- a/ivtest/regress-sv.list
+++ b/ivtest/regress-sv.list
@@ -374,6 +374,7 @@ parameter_no_default_fail2 CE			ivltests
 parameter_no_default_toplvl normal,-g2005-sv	ivltests
 parameter_override_invalid7 CE,-g2005-sv	ivltests
 parameter_override_invalid8 CE,-g2005-sv	ivltests
+parameter_scalar	normal,-g2005-sv	ivltests
 parameter_type2		normal,-g2009		ivltests
 parpkg_test		normal,-g2009		ivltests
 parpkg_test2		normal,-g2009		ivltests
diff --git a/ivtest/regress-vlg.list b/ivtest/regress-vlg.list
index 5f32b39d2..3bd41a707 100644
--- a/ivtest/regress-vlg.list
+++ b/ivtest/regress-vlg.list
@@ -712,6 +712,7 @@ param_test2		normal			ivltests gold=param_test2.gold
 param_test3		normal			ivltests gold=param_test3.gold # PR#293
 param_test4		normal			ivltests
 param_times		normal			ivltests # param has multiplication.
+parameter_1bit		normal			ivltests
 parameter_type		normal			ivltests gold=parameter_type.gold
 parameter_in_generate1	CE			ivltests
 parameter_no_default	CE			ivltests