Striker Connerton, 21, and midfielder Mellor, 20, took part in a training camp in Spain with IBV last month.
"Given the opportunity I'd take up the offer, but it depends what Crewe feel is best for themselves and for me," Connerton told BBC Radio Stoke.
"The coaching methods are a lot different, although they do try to play like Crewe, which is a good thing.
"It's nice to know that Crewe are doing stuff in my best interests and by giving me an opportunity they probably think it's going to benefit me.
"I'd quite happy to go if the opportunity arose."
Connerton joined Crewe from non-league Lancaster City in March 2010 but has only made one substitute appearance for the Alex.
He played 78 minutes as the Alex were beaten by Championship side Ipswich after extra time in the second round of the Carling Cup.
Mellor's only first-team action to date with Crewe was as a late substitute in the 2-1 victory at Morecambe in November.
Both players featured in a friendly match for IBV during the training camp, with Connerton scoring a hat-trick in a 7-0 win.
AJ Leitch-Smith, Chris Clements and Matt Garner are among the Crewe youngsters that have previously spent the English close-season playing for IBV.
Meanwhile, BBC Radio Stoke understands the man who discovere0d Connerton and several other players from non-league football, Neil Baker, is heading back to Evo-Stik Division One South side Leek Town, the club he left to become Crewe's assistant manager in 1994.
Baker is keen for a return to football management and has accepted an offer to join the board at Harrison Park.
He is expected to work alongside current Leek manager and former Crewe captain Neil Cox next season.
Baker led Leek to the brink of the Conference and the FA Trophy final during his time in charge of the Staffordshire club in the early 1990's.
Luke Varney, John Brayford and Tom Pope were all spotted by Baker and have gone on to enjoy sucessful careers in the Football League and, in Varney's case, the Premier League with Blackpool.