Internazionale, who spent millions of dollars in a close-season spending spree, including the purchase of the England midfielder Paul Ince from Manchester United, trail the leaders, Milan, by eight points.
Suarez will have a tough baptism tonight when Internazionale entertain Lugano from Switzerland in their Uefa Cup first round, second leg after drawing the first leg 1-1.
Bob Fleeting, the Kilmarnock chairman, has invited offers for control of the club, which is bottom of the Scottish Premier Division.
Fleeting claimed that he has let down his manager, Alex Totten, by failing to provide further funds for new players. He also said there were "other factors" behind his offer to stand down, including the abuse he suffered after the 2-1 home defeat by Aberdeen on Saturday, Kilmarnock's fourth loss in a row.