Spurs have been linked with the enforcer, but the Londoners have since denied the rumours.
This has left Celtic in the clear, with reports suggesting that talks between the Scottish champions and the 29-year-old are under way.
Bhoys boss Ronny Delia is understood to be desperate to get his side’s indifferent season back on track, and is confident that a player of Diarra’s ability and experience can help the Glasgow giants to rise from fourth to the top of the Scottish Premiership.
The former Real Madrid man spent some of his younger years with Arsenal and Chelsea before fulfilling his potential at Portsmouth.
From there he headed to Los Blancos, before joining Russian side Anzhi Makhachkala during their few years of heavy spending.