Dembele, who plays in midfield, came off the subs’ bench and set up a goal in the English side’s 5-3 victory at St George’s Park earlier this week.
The teenager has already taken part in training camps at the FA’s football centre at Burton-on-Trent before and after his Scots debut in the Victory Shield.
One source insisted: “The lad is simply enjoying new experiences and he is coming under absolutely no pressure from Scotland or England to nail his colours to the mast.
“Why would they do that? He’s only 13 and it would only risk alienating him. He’s a special talent, but no-one knows how that talent will develop in the years ahead, although we hope positively.
“In the meantime, he will be allowed to sample different squads and training camps.
Dembele is eligible to play for Scotland, where he is being brought up, England, where he was born, and the Ivory Coast, the country of his parents’ birth.
He hit the headlines when he made a substitute appearance for Celtic’s Under-20s against Hearts in October at Cappielow.