Morgan won this event last year, when he posted a tournament record 17-under-par 199, which was four shots better than anyone else in the field.
The victory was one of three on the season for the 54-year-old, and this year he has not let up at all, recording seven top-5 finishes in 12 events, including a win at the ACE Group Classic.
In total, Morgan has assumed 19 victories on the Senior Tour, 12 of which came during the years of 97 and 98, when the man from Oklahoma rattled off six per year.
He will be hoping to make it an even 20 this week at the TPC at Jasna Polana.
Some others in the field in Princeton are Jim Colbert, Bruce Fleisher, Doug Tewell, Lanny Wadkins and Hubert Green.
They will all be competing for a total purse of $1.5 million.