The Leeds boss has been discussing the club's most promising young stars.
The Leeds quartet, key members of the Yorkshire side's first team despite their young age, have all impressed considerably this Championship season.
Taylor has emerged as a worthy successor to Stephen Warnock at left-back, while Cook, Byram and Mowatt have all shone going forward for Redfearn's side.
So rare is such young English talent, however, that the Leeds boss is fully aware there may be concrete interest in the four starlets come the summer.
His message - and that of president Massimo Cellino - is to stand firm in the face of that interest. Indeed, Redfearn says he has been given assurances the key quartet, among others, will stay at Elland Road beyond the current campaign.
“There’ll be interest in them but the message from the president has always been that we’re building. If you’re building you keep your better players," the 49-year-old is quoted as saying.
“I trust what he says, he’s never told me differently, so I’d have thought they’ll be staying.”
Leeds face Wigan Athletic in their next Championship game this Saturday afternoon, where they will come up against former captain Jason Pearce.
Redfearn's men got back to winning ways on Wednesday night, beating Ipswich Town 2-1 to recover from two straight league defeats.