The defender, whose knee was heavily strapped for the session at the club's Carrington training base, underwent scans following Sunday's 3-2 defeat to Liverpool but the results have revealed no lasting damage.
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Kompany endured a difficult afternoon on Merseyside, with the centre-back making a couple of uncharacteristic mistakes as City fell to defeat and drifted seven points behind Brendan Rodgers's side at the top of the table.
The scan results will come as a positive for Manuel Pellegrini after losing ground in the title race, with City facing up to the prospect of needing to win all six of their remaining Premier League games to be in with a shot of being crowned champions.
The club are, however, still awaiting news on Yaya Toure's injury after fears that his season could be over.
The Ivory Coast international was substituted after just 19 minutes of the defeat to Liverpool and, having undergone scans to assess his knee and groin on Monday, the results are set to be released later on Tuesday.