The League One side, who are also very keen on taking Dimi Konstantopolous back on loan with a view to a permanent move, have shown an interest in the striker.
However, with Kyle on around £10k a week, his wages may have pushed him out of their financial budget.
Meanwhile,City have been linked with Watford's Mart Poom according to some media reports. However, the Sky Blues have enough keepers already at the club with Keiran Westwood,Andy Marshall, Dimi Konstantopolous, Danny Ireland and Neil Collett and any bid for the Estonian is thought unlikely.