Using Mercury Playback while Monitor connected to on-board Graphics?

I have Nvidia GTX970 GPU card, which I use for Premiere's Mercury Playback Engine. It runs pretty smoothly.

But I am recently having some problems with display. Monitor just starts fluctuating every now and then.

I will be giving the card for warranty as soon as my current project is done.

But till then, I don't want my customers to get disturbed because of this Fluctuation problem.

So what I want to know is, if I connect my monitor to the on-board Intel Graphics, would I still be able to use Nvidia's CUDA for Mercury Playback Engine?