Blues boss Alex McLeish was linked with a raid for the 30-year-old Republic of Ireland international striker in the summer when he appeared set to quit White Hart Lane. However Keane opted to stay put and fight for his place under Harry Redknapp given that they had Champions League football on offer.
Keane's decision has back-fired as he has barely featured in the first half of the season, while Redknapp confirmed that he would be made available for sale in the January transfer window.
That has resulted in several clubs being linked with a bid for the player, with the Blues one of the front-runners following McLeish's confirmation that he wants to freshen up the St Andrew's squad in the New Year.
However Villa boss Gerard Houllier has emerged as a strong contender to sign Keane as he bids to bolster the side he inherited in September when he replaced Martin O'Neill as permanent boss.
It is being reported that both sides are only willing to offer £6million for Keane which could be enough to tempt Spurs into a sale, despite their estimated £8million valuation.