Goals from John Mensah and Jordan Henderson pulled Sunderland level but Craig Bellamy put City ahead again.
Mensah's poor chest control allowed Spearing to steal before he was brought down by the Sunderland player.
The Black Cats fell behind to a Dirk Kuyt first-half penalty after John Mensah had fouled Jay Spearing.
Mensah has also had spells in Italian football with Modena, Chievo and Genoa, as well as Rennes in France.
Andy Reid was afforded space on the left, and his superb inswinging cross found Mensah, completely unmarked eight yards out, to head home.
Mensah will now compete for a place in the Black Cats' rearguard with Anton Ferdinand, Danny Collins, Nyron Nosworthy and Paulo Da Silva.
Mensah's poor chest control allowed Spearing to burst through and referee Friend blew the whistle for a foul on the edge of the box.
Referee Kevin Friend initially awarded a free-kick when John Mensah felled Jay Spearing but then pointed to the spot after consulting his assistant referee.
Suarez doubled the lead after the break when he powered in from a tight angle before Sunderland's Mensah was shown red for pulling back Suarez.
And with the eight minutes of the match remaining, Sunderland's miserable day was compounded with the sending off of Mensah for pulling back Suarez, who was through on goal.
Sunderland manager Steve Bruce has decided to allow Kilgallon to join the Championship club after signing defenders Nedum Onuoha and Titus Bramble while John Mensah has returned to the Stadium of Light on loan from Lyon.
With Michael Turner unavailable because of a four-match suspension, Sunderland boss Steve Bruce turned to Paulo da Silva to partner John Mensah in central defence, while captain Lorik Cana replaced the injured Lee Cattermole in midfield.
City's defence was already weakened by the absence of Joleon Lescott and Wayne Bridge, and it was further diminished by the loss of Micah Richards, due to an ankle injury sustained in the build-up to Mensah's goal.
As well as suffering their fifth defeat in six games, leaving them ninth in the Premier League, Bruce lost three players through injury in the match and had Mensah sent off late on for a foul on Luis Suarez.
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