The Bray lad, who helped Motherwell to a 3-2 win over St Johnstone yesterday which leaves them in joint-second place in the SPL table, has established himself as first-choice keeper at Fir Park and has also managed to earn promotion to the national team, making his senior debut against Oman in London earlier this season.
Randolph has enjoyed the taste of first-team football in Scotland after a frustrating time in England with Charlton and may decide to remain at Motherwell.
"It depends what offer comes in. I'll see what my options are in the summer," said Randolph, who was expected to be named by Giovanni Trapattoni today in his squad for next month's friendly against Poland.
"If it's the right move or the right deal up here then I'll stay put. I am happy up here, I have been here for three years and I'm settled so, if the club come to me with a good deal, there would be no reason not to.
"I don't want to go back and just sit on the bench and be travelling because there's a hell of a lot more travelling down south than there is up here. I can't be bothered travelling on buses every Friday to sit on the bench and then having to travel back. I got into the Irish set-up and got recognition through playing -- within two months of not playing, I'll be forgotten again."