Short answer: probably yes.
Longer answer: if the antenna is passive (i.e. does not contain a LNA or other circuitry that might effectively filter the incoming signal) then you need to realise that 2375MHz is only about 1% away from the lower end of the stated frequency range. When you compare that to the top end of the range (4%) then there is practically no difference. As most practical components (capacitor, inductors etc.) have a 5% tolerance (you can get components with tighter tolerances but the prices go up accordingly) then the frequency difference you are talkign about is negligible.
Even if the antenna does have active components, to get even 3dB rolloff in that short frequency difference, you would need a very sharp cutoff filter indeed.
Susan