But Palace are also said to be admirers, and their current boss Roy Hodgson is out of contract at the end of the season.
They’ve made a bid to hijack the deal.
And there’s now a fear at Celtic Park that Howe is using their interest as leverage with Premier League suitors.
This has compelled the Hoops to assess alternative options, among them ex-Borussia Dortmund boss Lucien Favre.
The Mail reported last month that Favre was interested in the post in Glasgow.
And Football Insider say the club have initiated contact with the Swiss.
Here’s how supporters, commenting on a Facebook post from Celtic Insider, reacted to these revelations.
These Celtic fans urge club to move on from Howe