This is according to The Independent, who suggest that Daehli is exactly the sort of industrious talent admired by the Portuguese, who also believes that he could well qualify as 'home-grown' due to the fact that spent two years with United between 2011-13.
Having signed a professional contract with Manchester United aged just 17, Daehli - a player who already has three senior international caps to his name for his native Norway - initially impressed in the club's youth setup but eventually failed to make the desired impact and left Old Trafford to return to his homeland with Molde.
The versatile midfielder performed well during his short time at Aker Stadion but he left club just six months later as Ole Gunnar Solskjaer - a Manchester United favourite during his time as a player - opted to bring him to Cardiff shortly after his own appointment as manager in the Welsh capital.
Daehli has made 12 top-flight appearances under Solskjaer at Cardiff to date, yet he has been largely powerless to prevent the team's slide to the foot of the table.
Chelsea appear set for an extremely busy summer this year, with speculation suggesting that up to 15 players are facing uncertain futures at Stamford Bridge.
With many of those players thought to be midfielders, it could be that Mourinho has space for one or two fresh additions to his squad in that particular area.
Daehli's relative lack of top-flight experience could render him somewhat of a risky purchase for Chelsea, although you have to assume that Cardiff's impending relegation back to the Championship could make him receptive to such a switch.
He might just be eager to show Manchester United exactly what they are missing.