The striker, who joined Liverpool from Newcastle for £35 million in January 2011, linked up with Sam Allardyce's side last summer after being told he would be behind lone frontman Luis Suarez in the pecking order at Anfield.
Carroll initially struggled at Upton Park, not scoring his first goal until November, but has since notched six in his last 12 outings - although Rodgers admits the loan spell has not gone as well as first hoped.
"In terms of Andy, it has been good to see the bit of form he has shown now towards the end of the season," Rodgers told reporters. "He has obviously had a difficult season as a whole because of injury, so it's been a little bit frustrating.
"I suppose it's similar to last season, he showed that bit of form here at the end of last season and he's obviously shown that again at West Ham.
"The idea for Andy to go out [on loan] was to get games; he wanted to play, he didn't want to be sat here playing second fiddle to anyone...But he wanted to go out and play football. He's gone to West Ham, which is a great club, and under Sam Allardyce he's done very well. So we'll assess that at the end of the season and take it from there."
West Ham has expressed an interest in recruiting Carroll permanently, but the 24-year-old will snub a move to the Hammers this summer as he wants to stay and fight for his future on Merseyside.