If your vision in one eye is 20/25 you might be able to get 20/20 on certain days probably and in certain lighting conditions. Ideally you want to be able to get 20/20 if at all possible on your initial medical. If that's not possible, do not despair.
Here is this from AOPA:
A special issuance is different from a waiver or Statement of Demonstrated Ability (SODA). Waivers are issued for static defects that are not likely to change. Useful vision in only one eye (monocular vision) is one condition for which a medical flight test might be used. There are several hundred pilots flying with monocular vision waivers. Upper or lower limb amputees can also qualify for a SODA with a flight test. Medical flight tests are sometimes conducted to demonstrate that an applicant can safely operate the aircraft.
I flew with someone you lost an eye due to a car accident. He had to do a flight test with the FAA for depth perception and was issued a SODA. He held a Class I and was a Captain, and that was almost 30 years ago.