A Cirrus pilot reported a NMAC after taking evasive action from an unidentified aircraft in Center's airspace.

Narrative

I was on an IFR flight plan from ZZZ to ZZZ1 via ZZZZZ.ZZZ2 ZZZ3 and talking to ZZZ Center while flying in cruise at 8;000 ft. I was approximately 8.5 miles east southeast of [NAVAID] ZZZ2 and I noticed on my MFD (Multi-Function Display) an aircraft (a Socata TBM-700) at the same altitude about 3-4 miles away; but on a heading that would potentially lead to a collision. A moment later; ZZZ Center called the other aircraft out to me and said they thought they were in a turn and would be; 'no factor'. I then saw the plane visually and noted that it appeared to be getting closer to me; quickly. I told ATC that I had them in sight; but was descending immediately and was cleared to 7000 ft. I immediately turned off my autopilot and descended at about 1500ft/min and while passing through about 7400 ft; I watched the plane fly directly over me and they then started a climb to 8900 ft. This plane was VFR; not talking to ATC and clearly NOT paying attention to other traffic. Had I not descended immediately; we likely would have collided. The VFR flight path I found for this plane was a training flight from ZZZ4 to ZZZ4. I also pulled the flight tracks of their plane and my plane and it is clear from the Track Log that we would have come very close. The other plane ended up climbing and turning after crossing paths with me; but never tried talking to ATC. I then was cleared to climb back to 8000 ft. and resumed my flight.