Rodgers' Reds beat Villa 2-1 to maintain their hopes of sneaking into Europe next season, but the Liverpool boss was effusive in his praise for Weimann - a striker he has been linked with in the press recently.
The Austrian, who has 15 months left on his current Villa deal, has put contract talks on hold - leading to speculation that he is keeping his options open for a possible move away this summer, despite boss Paul Lambert's confidence that it will all be sorted out.
Liverpool, Norwich City and Inter Milan have all been linked but the interest from Anfield appears to be the most serious - particularly if Rodgers loses Luis Suarez in the summer.
Weimann also had a good game at Anfield earlier this season when Villa beat Liverpool 3-1.
Rodgers told Talksport: "Weimann made some very good runs and caused us problems all the time."