The Southampton manager says the centre-back's demands to leave St Mary's were "not very proper" and is open to a move for Ron Vlaar should the Croatian get his wish
The former Lyon centre-back declared earlier in July that his head is "already at Liverpool" as he fumed at the Saints' refusal of a €25 million bid one year after his arrival at St Mary’s Stadium.
Koeman says that Lovren's attitude was "not very proper" but would still prefer to keep him, warning that the Reds or any other suitor would have to pay "a top price" to force a sale – with Netherlands international Ron Vlaar, of Aston Villa, a potential option to replace him.
"A player shouldn't say something like that, it's not very proper," he told Fox Sports.
"We just have to wait how it develops. For now, Dejan can still play with us. I don't want to lose him but, if he leaves, he will only go for a top price.
"Ron would definitely be an option," Koeman confirmed when asked about the Villa defender, "although I think he won't be cheap right now. Well, let's just wait and see."
Koeman has already bolstered his forward options this summer with the signings of Dusan Tadic and Graziano Pelle.
Both Rickie Lambert and Adam Lallana have left the south coast club for Liverpool already this summer, while Luke Shaw joined Manchester United in a €38m deal.