However, he may not have a choice, as the club are in danger of falling foul of the Premier League's Profit and Sustainability Rules having spent just under £400m on transfers since their Saudi Arabia-led takeover in 2021.
As a result, they may be forced to sell players on in order to comply with PSR, but while losing a player of Isak's quality would sting, Enrique believes it would be the right call for Newcastle due to the Sweden star's poor injury record.
'The problem with Alexander Isak - and we've said this about him even when he was at Real Sociedad - is that he's always injured,' the former Liverpool left-back told Grosvenor Sport.
'The way Newcastle wants to play is with high intensity and pressing from the front and you can't be expected to fulfil that if you're getting three or four injuries every year. Callum Wilson has exactly the same problem by the way - he misses far too many games too.
'If someone comes along and offers them the £70m that they spent to sign him in the first place then they need to think about it.'
Alexander Isak's injury record since joining Newcastle
Sep 2022-Jan 2023 - Thigh problems - Games missed: 16
Oct-Nov 2023 - Groin injury - Games missed: 6
Jan-Feb 2024 - Groin injury - Games missed: 4
Data from Transfermarkt.co.uk
It remains to been whether anybody would be willing to make such a bid, with Arsenal linked with a wide range of strikers including Brentford's Ivan Toney and Sporting Lisbon's Viktor Gyokeres.
Since joining Newcastle, Isak has missed 26 games for club and country thanks to three separate injuries.
'It's not just a question of quality - I think Isak is that good that he can play for Liverpool or Manchester United for example - but it's a question of availability too.
'He's too injury prone, to the extent that if someone came with a lot of money this summer which gave Newcastle the opportunity to sign someone slightly worse but consistently fit, they'd have to consider that option.'
Newcastle have been ravaged by injuries this season, will no less than 11 players currently in the treatment room, while Sandro Tonali remains suspended.
Nevertheless, they're a very credible eighth in the table with a huge game against Tottenham on Saturday next on the agenda.
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