diff --git a/Dapper.Tests/MiscTests.cs b/Dapper.Tests/MiscTests.cs
index 857dcf9a2..2787f0149 100644
--- a/Dapper.Tests/MiscTests.cs
+++ b/Dapper.Tests/MiscTests.cs
@@ -1130,5 +1130,26 @@ private class HazGetOnly
             public int Id { get; }
             public string Name { get; } = "abc";
         }
+
+        [Fact]
+        public void GetOnlyPropertiesWithNonDefaultConstructor()
+        {
+            DefaultTypeMap.MatchNamesWithUnderscores = true;
+            var obj = connection.QuerySingle<HazGetOnlyAndCtor>("select 42 as [id_property], 'def' as [name_property];");
+            Assert.Equal(42, obj.IdProperty);
+            Assert.Equal("def", obj.NameProperty);
+        }
+
+        private class HazGetOnlyAndCtor
+        {
+            public int IdProperty { get; }
+            public string NameProperty { get; }
+
+            public HazGetOnlyAndCtor(int idProperty, string nameProperty)
+            {
+                IdProperty = idProperty;
+                NameProperty = nameProperty;
+            }
+        }
     }
 }
diff --git a/Dapper/DefaultTypeMap.cs b/Dapper/DefaultTypeMap.cs
index 8366ae5ee..bf1b23128 100644
--- a/Dapper/DefaultTypeMap.cs
+++ b/Dapper/DefaultTypeMap.cs
@@ -74,7 +74,8 @@ public ConstructorInfo FindConstructor(string[] names, Type[] types)
                 int i = 0;
                 for (; i < ctorParameters.Length; i++)
                 {
-                    if (!string.Equals(ctorParameters[i].Name, names[i], StringComparison.OrdinalIgnoreCase))
+                    if ((!MatchNamesWithUnderscores && !string.Equals(ctorParameters[i].Name, names[i], StringComparison.OrdinalIgnoreCase)) ||
+                        (MatchNamesWithUnderscores && !string.Equals(ctorParameters[i].Name, names[i].Replace("_", ""), StringComparison.OrdinalIgnoreCase)))
                         break;
                     if (types[i] == typeof(byte[]) && ctorParameters[i].ParameterType.FullName == SqlMapper.LinqBinary)
                         continue;
@@ -121,7 +122,17 @@ public SqlMapper.IMemberMap GetConstructorParameter(ConstructorInfo constructor,
         {
             var parameters = constructor.GetParameters();
 
-            return new SimpleMemberMap(columnName, parameters.FirstOrDefault(p => string.Equals(p.Name, columnName, StringComparison.OrdinalIgnoreCase)));
+            var property = parameters.FirstOrDefault(p => string.Equals(p.Name, columnName, StringComparison.OrdinalIgnoreCase));
+
+            if (property == null && MatchNamesWithUnderscores)
+            {
+                property = parameters.FirstOrDefault(p => string.Equals(p.Name, columnName.Replace("_", ""), StringComparison.Ordinal))
+                    ?? parameters.FirstOrDefault(p => string.Equals(p.Name, columnName.Replace("_", ""), StringComparison.OrdinalIgnoreCase));
+            }
+
+            return new SimpleMemberMap(
+                MatchNamesWithUnderscores ? columnName.Replace("_", "") : columnName,
+                property);
         }
 
         /// <summary>