The England under-21 international helped Sheffield United reach the Premier League last season, keeping 21 clean sheets and making a number of important saves after joining Chris Wilder's side on loan.
Although United's top-flight rivals are expected to award Henderson a new long-term contract before granting his request, manager Ole Gunnar Solskjaer has raised the possibility of retaining the goalkeeper's services and enabling to learn from "the best players in the world."
But Henderson has no interest in spending time on the bench, having previously chastised many of his contemporaries for being content to call themselves top-flight footballers without "ever actually taking part" in any games.
Wilder has wasted no time in exploring the possibility of re-signing Henderson, approaching the subject with his parent club during a visit to the Manchester derby last month.
Although United were told they have no chance of negotiating a permanent deal, Wilder is thought to be confident of reaching another temporary agreement which would see Henderson return to South Yorkshire following this summer's UEFA U21 Championship finals in Italy and San Marino.