The pair were outstanding in a 4-4-2 system in Saturday's 1-0 Premiership win at Aston Villa.
Boss Glenn Hoddle said afterwards that he could see the partnership developing and both Dean and Ledley hope that's the case.
"If we can both stay fit then the partnership can only go from strength to strength," said Deano.
"We've got different attributes but we're a good blend and it would be nice to keep it together.
"It has been unsettling for the defence this season and it would be nice to get settled, especially in the centre of defence."
Ledley added: "It would be nice to get a consistent group at the back. That can only help the team.
"There seems to have been a new player at the back every week and we've had to deal with that.
"All the lads that have played have done well but I think getting that consistency would benefit the team."
Dean Richards believes his defensive partnership with Ledley King can only go from strength to strength.