"You need to look at everything. My gran was born in England
"The players will then need to weigh up what they want to be involved in and what's best for their careers," Naismith said.
When asked if he would be willing to incur the wrath of the Scotland fans to play, Naismith said: "You need to look at everything. My gran was born in England, my dad was born in Wales,Paul Hornung Jersey.
"People just have to look at the facts and weigh up their decision."
Celtic winger James Forrest,Tom Crabtree Jersey, 20, last week revealed he would be interested in Team GB while Rangers manager Ally McCoist backed the idea of Scots taking part.
The Scottish Football Association, like their counterparts in Wales and Northern Ireland,Ahmad Bradshaw Youth Jersey, are against their players competing amid fears over the national team's independence.
But, while Naismith does not expect to be involved, he believes any young Scots who are selected should make decisions based on their own interests,Jonathan Stewart Jersey.
Naismith showed his selfless side on Wednesday by donating a Christmas lunch to homeless people through Glasgow-based charity Loaves and Fishes,Justin Tuck Giants Jersey, but he reckons players should think for themselves in these circumstances.
The Rangers forward last week admitted he would be interested in playing for Team GB, although he would need to be one of the three over-23s selected and is in the early stages of rehabilitation from surgery to repair his cruciate ligament.
Scotland international Steven Naismith has defended a player's right to choose to represent Great Britain in the Olympics.Naismith: Suggested he would play for Team GB Related articles Senegal late show denies GB Blatter plays down future GB teams Pearce: Brazil set the standard
The Olympics take place in late July and early August - just when Celtic and Rangers take part in Champions League qualifiers with more than £10million of income ultimately riding on them.
"I had the chance to play for Wales at under-21 level but I chose Scotland because I'm Scottish and proud to be Scottish.
"Playing in a team with some of the best players in Britain and against some of the best players in the world, as a footballer you would be crazy not to think about it."
"That's for the players to think about at the specific time,Nick Mangold Youth Jersey, rather than ifs and buts at this time."
"I fully don't expect to be involved but if you're a younger player and totally selfishly looking at football and no other agenda, it's another chance to show the world how good you are.
The 25-year-old said: "The SFA have their thoughts and that's full credit to them.