Walton has struggled for playing time with Albion and has been linked with a return to Luton, where he spent the 2016/17 season on loan.
"We really like Christian, I know Christian really well obviously from my time at Brighton and from his time here," Jones said.
"He's a Brighton goalkeeper and he is someone that will always get linked with us because of the relationship we have with him.
"We care about him, we want him to do well but if ever I had the opportunity to re-sign Christian further down the line or whatever then I would take it.
"You never know, if we had a clean slate and I didn't have any goalkeepers here for example then Christian would be very high on my list because one, his goalkeeping ability, his prowess and then also we have had him here.
"He will always get linked, we always want him to do well and if I had an unlimited budget and unlimited number then he would be one we're interested in.
"There is no point commenting on that now because the scope is different."