Swindon Town manager Mark Cooper says the club is not under pressure to sell Australia international Massimo Luongo.
Chairman Lee Power confirmed he had rejected a £600,000 bid from Rotherham for the 21-year-old midfielder.
Speaking after his side's pre-season win at Petersfield, boss Cooper said: "I don't know if we would sell him. I don't think there's any pressure."
BBC Wiltshire understands the club have also turned down a bid for defender Nathan Thompson from Peterborough.
The 23-year-old right-back was linked with a move to Posh last week and it is thought they have offered £200,000 for the Swindon youth product.
But speaking about interest in Luongo, who joined Town on a £400,000 deal from Tottenham in September, Cooper said are not in a position where they have to offload their best players.
"We have been a selling club but I think the way Lee is doing it is that if we are sustainable we don't have to sell players," he said.
"With all due respect to Rotherham, I don't think Mass would go there. It was a fantastic offer but I think he's worth more than that."
Meanwhile, Cooper confirmed he has taken midfielder Anton Rodgers, son of Liverpool manager Brendan, on trial.
The 21-year-old was at Brighton & Hove Albion with Swindon assistant coach Luke Williams and made 14 appearances for Oldham last season.
"We're just having a look at Anton. He's free from Oldham and Luke has worked with him before. He said he's worth having a look at," added Cooper.
The Swindon boss also said they are interested in signing Liverpool left-back Brad Smith.