The City manager admitted his side had found it tough against the Cherries with the sides level at half-time but credited with young wingers Raheem Sterling and Leroy Sane with turning the game in their favour.
Bernado Silva had earlier given City the lead before Callum Wilson struck back on the stroke of half time with a powerful header.
The Premier League leaders battled to a 3-1 win over Bournemouth on Saturday, with Bernardo Silva, Raheem Sterling and Ilkay Gundogan on target as City's all-time top scorer Aguero looked on from the stands.
City hold a significant lead over second placed Liverpool, but they can close the gap back to two points if they beat Everton in the Merseyside derby at Anfield on Sunday.
"I don't know", said Pep when asked if they can okay.
Bournemouth fans will be glad to see the back of him - he now has eight goals in six league appearances against Eddie Howe's side. Those players, in turn, achieved greatness at other clubs where they were given more important roles.
In the late match Southampton are home to Manchester United.
Stuart Armstrong drove home an angled finish for Southampton's opening goal in the 13th, and Cedric Soares curled a free kick into the top corner for 2-0.
"Also, Fabian Delph [on for the injured Oleksandr Zinchenko at left-back] helped us to find our rhythm and the second half was much, much better".
Newcastle's three-match winning run was halted by a 3-0 home loss to West Ham, with Mexico striker Javier Hernandez scoring twice.
Saints had not won in nine league games and had scored only four goals at St Mary's, but they made a flying start as Mourinho's decision to play midfielder Scott McTominay at the heart of his defence quickly backfired. However, the hosts were reduced to 10 men just after 32 minutes when Steve Mounie was sent off for a high challenge on Yves Bissouma.
At Selhurst Park, Palace ended their eight-game winless league run at the expense of fellow strugglers Burnley.
Andros Townsend's 77th minute curler ensured Palace would win for the first time since September and condemn third bottom Burnley to a seventh successive league game without a win.
Jamie Vardy opened the scoring with a penalty after 12 minutes before James Maddison netted a brilliant volley to move Leicester up to eighth.