There is no e-filing fee for either federal or state returns in TurboTax Online.
If you're referring to the Online product prices:
Earlier in the tax filing season, TurboTax discounts their product prices. Typically, those discounts expire in late February or mid-March.
If you'd like to secure an earlier price (at discounted rates), you can choose to pay for your TurboTax product before filing. Instructions follow below.
https://ttlc.intuit.com/replies/6679627
*** I am NOT a tax expert. I am a seasoned TurboTax user, and volunteer to provide assistance to TT users. Nothing I post is to be considered TAX ADVICE; I bear no legal liability for responses.***