Henderson, who is also the regular keeper for the Ireland under-21's, was particularly outstanding in last weekend's 0-0 draw at Northampton.
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"It is something that we would be keen on doing, because he is a very good player.
"He was outstanding against Northampton last weekend and, if he can play to the same level every week, he is going to have an important role to play for us in the future."
More surprisingly, perhaps, though is that Henderson himself seems keen on remaining at Meadow Lane for a little longer.
"To be honest, all I have wanted for some time is the chance to play first-team football and I am really enjoying it now that I have that." said Henderson.
"I don't think there is any doubt that I am learning a lot. It is benefiting me being with Notts."