The Eagles are looking for Damien Delaney alternatives, according to reports.
The tabloid claims the Eagles are keen to replace veteran centre-back Damien Delaney and have added Hause to their list of Championship targets.
Brighton & Hove Albion's Lewis Dunk and Reading's Jake Cooper are also said to have caught the eye of Palace boss Alan Pardew.
London-born Hause was on the books of West Ham United as a youngster and moved to Wolves in 2014 following a successful spell at Wycombe Wanderers.
The 20-year-old starred for Kenny Jackett's men in his debut campaign, leading to a first England Under-21 call-up last year, although injury has hindered his progress this term.
Hause, who is left-footed, boasts impressive pace and can also play at full-back if required.
The former Gillingham loanee signed a new three-and-a-half-year contract in February.
However, a return to the capital, along with the possibility of European football next term courtesy of Palace's participation in next month's FA Cup final, could lure Hause away from Molineux.