Hearts striker Lawrence Shankland is back in training after missing his side's 2-1 win over Spartans in the Scottish Cup.
The Scotland international was unavailable for the fixture due to illness, amid speculation over his future.
Shankland has been linked with a move away from Tynecastle during the January window and talks have been taking place for weeks to extend his contract beyond 2025 with an offer tabled.
Addressing the 28-year-old's absence from the squad against Spartans, Naismith said: "He hasn't been about for the last few days so we will see how he is.
"I don't know whether he will make Tuesday or not. We will wait and see."
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When asked about the deal offered to the striker and reports which state it may not be good enough, Naismith responded: "It's a process and, inevitably, we will get to the endpoint. The club will do all we can to keep him and it's a big decision for him.
"He will take as long as he needs to decide. When you get to the endpoint, we will do what we can physically do.
"Players who run their contracts down potentially have opportunities and offers which aren't there when you are under contract.
"He's got 18 months left, we have started speaking to him about a new deal, we will get to an endpoint and see where that takes us."
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