Rooney is Everton's top goalscorer this season with 11 goals in all competitions after he re-signed for his boyhood club from Manchester United last summer.
West Ham boss Moyes was in charge at Everton as Rooney progressed through the ranks and handed the 16-year-old his debut in 2002.
'My understanding of the situation is that there seems to have been some negotiations somewhere along the line, ' said Allardyce.
Everton striker Theo Walcott says team-mate Wayne Rooney has nothing to prove amid speculation he is set to leave the club for a move to the United States.
The US transfer window does not open until July though a deal is agreed in principle with DC United.
Only when I speak to him today [Friday] will I find out where the situation lies.
"I've always looked at Wayne Rooney as someone who just wants to play football, wants to get on the ball, touch the ball 40, 50, 60, 70 times and sometimes that has been his Achilles heel".More news: Italy's new government makes economic promises
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Allardyce clarified that his stance on players who wish to move did not apply only to Rooney.
"No manager or coach can guarantee a player his place in the side".
"There were days when Wayne Rooney was young, he would play for the first team then he would go back and be out kicking the ball with his pals in the street. He's never got carried away and that's why he's played so well and achieved so much". "He isn't anxious about the money, he just wants to play football".
One year on, it may be even more hard to succeed.
As for whether uncertainty about his future at the club might affect his planning for next season, Allardyce replied: "I've already done it".