Dunne was forced off during the defeat at Reading last weekend with a gash to his shin that required nine stitches.
The 28-year-old initially carried on after tackling Republic of Ireland team-mate Stephen Hunt, before the seriousness of the injury became clear.
City are aiming to improve on a wretched run of two wins in 12 games that has hampered their hopes of a place in Europe next season.
Dunne's presence at the moment is vital given that his defensive partner Micah Richards is recovering from a knee operation.
And City boss Eriksson is hopeful his skipper will be available for the clash at Eastlands on Sunday.
"Richard is a tough guy, and if there is any chance he can play against Spurs then he will do," Eriksson told the club's official website.