The 32-year-old forward is set to become the S.League club's second high profile signing following Steve Kean's arrival last week
The player's agent tweeted a photo of the 32-year-old in Brunei with the caption 'Two-year deal for my boy Jeffers, we are back'.
Jeffers, who was a free agent, was on trial with the 2012 League Cup champions last week, along with a host of players with international experience.
The former Arsenal and Everton forward's link-up with DPMM was revealed by Goal Singapore back in October, following news of Steve Kean's potential appointment as Head Coach to the Brunei club.
Jeffers will be the S.League's highest profile player since the competition's founding in 1996, and along with new head coach Steve Kean, who finally put pen to paper last week and oversaw his first training session, is expected to help the club push for their first league title.
DPMM finished runners-up in 2012 in their best season in the S.League, winning the League Cup for a second time, but could only stutter to an eighth-place finish this year.