The value of the print, which was returned without damage, was approximately £270,000, the court heard.
Fraser, of Beckton, east London, pleaded guilty to one count of burglary and may be eligible for immediate release due to time spent on electronic curfew.
A second man, James Love, 54, was cleared of stealing the print following a trial, after he was accused of being a getaway driver.
The court heard Fraser put forward a basis of plea in which he said he owed money due to a drug debt he was struggling to settle and agreed to commit the offence “under a degree of pressure and fear”.
He said he did not know the burglary’s target until the day of the theft and did not know its value.
Judge Brown said: “Whilst you did not know the precise value of the print, you obviously understood it to be very valuable.”