And the Blues will hold talks with the Scot in the next coming weeks to discuss his future.
Naismith failed to make Jackett’s match-day squad for their 1-0 defeat against League One’s basement side yesterday.
The Rangers academy product had started Pompey’s previous nine matches before being axed.
The Blues boss said: ‘I didn’t select Kal yesterday – he was fully fit.
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‘We’ll talk to him this week, maybe the week after but for us I didn’t select him on yesterday.’