diff --git a/.travis.yml b/.travis.yml
new file mode 100644
index 000000000..f1e566e83
--- /dev/null
+++ b/.travis.yml
@@ -0,0 +1,7 @@
+language: csharp
+mono: none
+dotnet: 2.1.4
+script:
+  - dotnet build System.IO.Abstractions --framework netstandard1.4
+  - dotnet build TestingHelpers --framework netstandard1.4
+  - dotnet test TestHelpers.Tests --framework netcoreapp2.0
diff --git a/README.md b/README.md
index 9af2660cb..77c28473f 100644
--- a/README.md
+++ b/README.md
@@ -1,4 +1,5 @@
-[![Build status](https://ci.appveyor.com/api/projects/status/em172apw1v5k70vq/branch/master?svg=true)](https://ci.appveyor.com/project/tathamoddie/system-io-abstractions/branch/master)
+[![Windows build status](https://ci.appveyor.com/api/projects/status/em172apw1v5k70vq/branch/master?svg=true)](https://ci.appveyor.com/project/tathamoddie/system-io-abstractions/branch/master)
+[![Linus build status](https://travis-ci.org/System-IO-Abstractions/System.IO.Abstractions.svg?branch=master)](https://travis-ci.org/System-IO-Abstractions/System.IO.Abstractions)
 [![NuGet](https://img.shields.io/nuget/v/System.IO.Abstractions.svg)](https://www.nuget.org/packages/System.IO.Abstractions)
 
 Just like System.Web.Abstractions, but for System.IO. Yay for testable IO access!
diff --git a/TestHelpers.Tests/MockDirectoryTests.cs b/TestHelpers.Tests/MockDirectoryTests.cs
index ee21d4cdb..66b2e7808 100644
--- a/TestHelpers.Tests/MockDirectoryTests.cs
+++ b/TestHelpers.Tests/MockDirectoryTests.cs
@@ -784,7 +784,9 @@ public void MockDirectory_GetFiles_ShouldFindFilesContainingTwoOrMoreDots()
             Assert.That(actualResult, Is.EquivalentTo(new [] { testPath }));
         }
 
+#if NET40
         [TestCase(@"""")]
+#endif
         [TestCase("aa\t")]
         public void MockDirectory_GetFiles_ShouldThrowAnArgumentException_IfSearchPatternHasIllegalCharacters(string searchPattern)
         {
diff --git a/TestHelpers.Tests/MockFileWriteAllBytesTests.cs b/TestHelpers.Tests/MockFileWriteAllBytesTests.cs
index bb4d4609b..700feeec0 100644
--- a/TestHelpers.Tests/MockFileWriteAllBytesTests.cs
+++ b/TestHelpers.Tests/MockFileWriteAllBytesTests.cs
@@ -58,7 +58,9 @@ public void MockFile_WriteAllBytes_ShouldThrowAnUnauthorizedAccessExceptionIfFil
             Assert.Throws<UnauthorizedAccessException>(action, "Access to the path '{0}' is denied.", path);
         }
 
+#if NET40
         [Test]
+#endif
         public void MockFile_WriteAllBytes_ShouldThrowAnArgumentExceptionIfContainsIllegalCharacters()
         {
             // Arrange
diff --git a/TestHelpers.Tests/TestHelpers.Tests.csproj b/TestHelpers.Tests/TestHelpers.Tests.csproj
index e8c2751e3..a309eaf1a 100644
--- a/TestHelpers.Tests/TestHelpers.Tests.csproj
+++ b/TestHelpers.Tests/TestHelpers.Tests.csproj
@@ -1,6 +1,6 @@
 <Project Sdk="Microsoft.NET.Sdk">
   <PropertyGroup>
-    <TargetFrameworks>net40</TargetFrameworks>
+    <TargetFrameworks>net40;netcoreapp2.0</TargetFrameworks>
     <Version>0.0.0.1</Version>
     <Description>The unit tests for our pre-built mocks</Description>
     <Company />
@@ -39,6 +39,9 @@
   </ItemGroup>
 
   <ItemGroup>
+    <PackageReference Include="Microsoft.NET.Test.Sdk" 
+                      Version="15.0.0"
+                      Condition="'$(TargetFramework)' != 'net40'" />
     <PackageReference Include="nunit" Version="3.8.1" />
     <PackageReference Include="NUnit3TestAdapter" Version="3.9.0" />
   </ItemGroup>