Against Manchester United, the winger had little opportunity to show his talent in a 20-minute appearance and now Redknapp wants to monitor him before deciding what role he can have in Spurs' bid to secure a Champions League spot.
"Lennon could be a key player," said Redknapp. "I don't know really. It depends how he is."
He added: "He came on but he never really got into a sprint. That is his first run out so we will have to see how he is this week."