The open-source driver for Intel is known to be a little behind on Linux. Because Intel does not provide as much support as they should, the driver still does not support OpenGL 4.0, although that is changing. One large chunk of that API is support for tessellation, which comes from DirectX 11, and recent patches are adding it for supported hardware. Proprietary drivers exist, at least for some platforms, but they have their own issues.
According to the Phoronix article, once the driver succeeds in supporting OpenGL 4.0, it will not be too long to open the path to 4.2. Tessellation is a huge hurdle, partially because it involves adding two whole shading stages to the rendering pipeline. Broadwell GPUs were recently added, but a patch that was committed yesterday will expand that to Ivy Bridge and Haswell. On Windows, Intel is far ahead — pushing OpenGL 4.4 for Skylake-based graphics, although that platform only has proprietary drivers. AMD and NVIDIA are up to OpenGL 4.5, which is the latest version.
While all of this is happening, Valve is working on an open-source Vulkan driver for Intel on Linux. This API will be released adjacent to OpenGL, and is built for high-performance graphics and compute. (Note that OpenCL is more sophisticated than Vulkan "1.0" will be on the compute side of things.) As nice as it would be to get high-end OpenGL support, especially for developers who want a more simplified structure to communicate to GPUs with, Vulkan will probably be the API that matters most for high-end video games. But again, that only applies to games that are developed for it.