Rothen has been linked with a move to Ewood Park after being told he can leave PSG before the close of the transfer window.
The France international was expected to travel to England this week in order to hold talks over a possible move to Blackburn.
However, while Allardyce acknowledged an interest in the 31-year-old, he confirmed he is looking to strengthen other areas of his Rovers squad.
"Jerome Rothen is of an interest to us, but he is a left sider and I don't feel as though we need strengthening in the wide positions," Allardyce told the Lancashire Evening Telegraph.
"Left and right we are pretty strong. Brett is on his way back, we have Dioufy, Elrio, Morten, young Junior who looks bright.
"From that point of view, I don't think that is a priority."