Emnes scored the only goal of the game to give Swansea City victory in the South Wales derby in what could be his penultimate appearance for the club.
His loan spell ends after the game against Bristol City on Wednesday as he cannot play against his parent club next Sunday.
And Rodgers also refused to give up on keeping Emnes at the end of his spell despite him likely to return to Middlesbrough as Tony Mowbray wants to look at all options available to him.
Speaking after the game, Rodgers said “It was a terrific goal, he’ll obviously go down in folklore with Swans fans after that
“He’s taken the ball in and made a wonderful turn… he’s shown great quality since he’s been with us.
“His last game will be against Bristol City on Wednesday, he can’t play against Middlesbrough
“We’ll take it from there, he’s a player we’d love to keep here.
“He fits perfectly into our style and our identity as a team, and he’s a good guy as well so we’ll see what happens in the next week or so.”