Blades boss Neil Warnock is keen to strengthen his squad in the January transfer window and has looked at the City pair ahead of the two clubs meeting in three days time.
"We are looking at targets and talking to managers and agents with a view to bringing people in," said Warnock.
"I would love to have Ashton and Huckerby. I want them both.". Meanwhile Norwich manager Nigel Worthington said: "I am taking no notice of it. I'm not interested.
"All I'm hoping is that the two players go out on the day and just show everyone what great players they are."