The 29-year-old Hart's future at the club was thrown further into doubt after Spanish champions Barcelona said on Saturday they had reached the 'beginning of an agreement' with City over the transfer of their goalkeeper Claudio Bravo.
"He will be in the squad definitely. What we will do, I won't know until I speak to Joe and that will be the same for most of the players," Allardyce told British media.
"I want to know what frame of mind they are in and make the right selection for Slovakia away."
Everton, Sevilla and German side Borussia Dortmund have all expressed interest in Hart, according to British media reports.
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The opening Group F qualifier for the 2018 World Cup is England's first game under Allardyce, who was appointed after Roy Hodgson quit following the team's defeat by Iceland in the last 16 of Euro 2016 in June.
Allardyce will name his squad on Sunday for the clash against Slovakia on Sept. 4.
(Reporting by Shravanth Vijayakumar in Bengaluru; editing by Sudipto Ganguly)
