Jorgensen handed Cheltenham Town chance
The 33-year-old midfielder is currently unattached to a club and can therefore sign for the Robins if his trial period proves to be a success.
He will not be involved in the Robins' match at Torquay United this evening.
Denmark-born Jorgensen has played for Bournemouth, Blackpool, Coventry City, Blackpool and Port Vale since moving to England in 1999.
He started this season with Blue Square North club Fleetwood Town, playing alongside ex-Robins defenders Alan Wright and Michael Taylor, but he is keen to return to the Football League and has started training with Cheltenham.
"Claus not played for a while, but he has come in and he is hungry to get back at it, so we will have a look at him," Schofield said.
"He has kept himself fit and the sharpness will come.
"It's a two way street because he needs somewhere to train, if he is happy with what he sees and we are happy with what we see, there might be a possibility he might stay with us.
"Because Claus is not tied to a club, it gives him a bit of breathing space, lets him get up to speed and looking at what we have done with him so far, he seems to be enjoying it."
Jorgensen qualifies for the Faroe Islands through his mother and has won 10 caps for his country, scoring once.
He was part of the Blackpool team that won the League One play-offs in 2007
If he is offered terms, he will become Schofield's fifth signing following loan captures Ben Marshall, Joss Labadie, David Pipe and Ashley Eastham.
Schofield has been in charge for the past six weeks while manager Martin Allen has been placed on 'gardening leave'.
He registered his first victory a week ago as the Robins hit back from a goal down to defeat Barnet 5-1 at the Abbey Business Stadium.
Schofield may name an unchanged XI at Plainmoor this evening, although Pipe and Eastham will be pushing for places.
"We will be looking to integrate David and Ashley into the first team, but we are on the back of a good performance and result against Barnet last Tuesday," Schofield said.
"It'd be wrong for us to ask players to perform and keep the shirt and then when you win 5-1, rip it all apart and start again.
"The lads have earned their shirts for the second match running."
Torquay have already knocked Cheltenham out of two cup competitions this season.
They defeated an understrength Robins team 3-1 in the Johnstone's Paint Trophy first round at Whaddon Road and won by the same scoreline in a controversial FA Cup first round tie at Plainmoor.
Cheltenham took an early lead through Theo Lewis' first senior goal, but Torquay were awarded two penalties, the second of which saw Lee Ridley sent off for handball on the line.
The club later made an appeal against Ridley's dismissal that was upheld.
● Injured club captain Shane Duff will once again be on scouting duty this evening.
The central defender, who is not due back until next March following Achilles surgery, will be watching Northampton Town play Hereford United..
on trial: Claus Jorgensen after Blackpool won the League One play-off final at Wembley in 2007
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