The City boss says the French defender has returned to training after feeling fatigued after his comeback game against Sheffield United.
The boss also revealed Leroy Sane is well on the way to returning after starting regular training with the rest of the squad.
“Aymeric is OK, he had fatigue but he wasn’t injured but I’m not going to take risks,” said Pep.
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“Maybe he can play against Spurs, but we don’t know just yet and if he can’t, he will be fine for West Ham.”
Questioned whether his absence in the last two games was due to something more than fatigue, Pep responded: “If Laporte had a set-back, I would tell you - I only tell the truth.”
The Catalan also had encouraging news on Leroy Sane, particularly with games against Real Madrid now on the horizon.
“Leroy has started to train with us and has been moving surprisingly well,” said Pep. “It is nice to see him back.
“Laporte was training with us for three weeks before he played against Sheffield United, so we will have to see how Leroy goes.”
The City boss was asked if he ever considered recalling Tosin Adarabiyo when he lost Laporte and John Stones to injury earlier in the season.
Adarabiyo has been on loan at Blackburn Rovers, but Pep said he didn’t feel the need to recall him.
“No I didn’t consider that,” he said.
“John is there, Fernandinho is there, Nico is there, Eric working with us for a long time and he’s played good - Laporte and John have been injured, yes, but this happens in that positions sometimes.”