diff --git a/docs/CONTRIBUTORS b/docs/CONTRIBUTORS
index 363676c91..67b634c82 100644
--- a/docs/CONTRIBUTORS
+++ b/docs/CONTRIBUTORS
@@ -53,6 +53,7 @@ Nandu Raj
 Nathan Kohagen
 Nathan Myers
 Patrick Stewart
+Paul Wright
 Peter Horvath
 Peter Monsson
 Philipp Wagner
diff --git a/src/V3AstNodes.h b/src/V3AstNodes.h
index 117d28b50..b6bb6653a 100644
--- a/src/V3AstNodes.h
+++ b/src/V3AstNodes.h
@@ -2170,7 +2170,7 @@ public:
         return ((isIO() || isSignal())
                 && (isIO() || isBitLogic())
                 // Wrapper would otherwise duplicate wrapped module's coverage
-                && !isSc() && !isPrimaryIO() && !isConst());
+                && !isSc() && !isPrimaryIO() && !isConst() && !isDouble());
     }
     bool isClassMember() const { return varType() == AstVarType::MEMBER; }
     bool isStatementTemp() const { return (varType() == AstVarType::STMTTEMP); }
diff --git a/test_regress/t/t_cover_toggle.v b/test_regress/t/t_cover_toggle.v
index e069a3382..1c4008c3b 100644
--- a/test_regress/t/t_cover_toggle.v
+++ b/test_regress/t/t_cover_toggle.v
@@ -6,10 +6,12 @@
 
 module t (/*AUTOARG*/
    // Inputs
-   clk
+   clk,
+   check_real
    );
 
    input clk;
+   input real check_real; // Check issue #2741
 
    typedef struct packed {
       union packed {