It is understoodÂ the Blues want the 22-year-old to bolster a midfield now lacking the energy of Ben Thompson.
Morris returned to parent club Shrewsbury earlier this month having spent the first half of the campaign on loan at Wycombe.
During that Chairboys stay, he netted the opener in their 2-2 draw at Fratton Park in September.
The former England under-20 international scored three times in 21 appearances for Gareth Ainsworth's side before returning to New Meadow.
Ronan Curtis' Portsmouth future spelt out by trusted source well in the know - with advice on where to play Irishman added, too
Former Portsmouth keeper Alex Bass suffers tough night on and off the pitch as he makes Sunderland debut following Fratton Park exit
Portsmouth boss Danny Cowley makes transfer admission as former Luton and Millwall midfielder edges closer to Fratton Park exit
Portsmouth's Miniesta bidding to live up to big reputation - and those comparisons with ex-Barcelona and Spain star
Former Portsmouth, Ipswich and Bristol Rovers striker joins Port Vale - just eight months after moving to Fleetwood
Luton have been linked with a transfer-window swoop for Morris '“Â now Kenny Jackett is also pursuing the highly-regardedÂ ex-Middlesbrough youngster.
Morris has made 43 appearances for Shrewsbury after arriving at the League One club permanently in January 2017.
During his Riverside Stadium daysÂ he also saw loan service at Burton, Coventry, York and Walsall.
The midfielder has one Championship appearance to his name, climbing off the bench for Middlesbrough in a May 2013 defeat at Sheffield Wednesday.