According to me, as you are not a confirmed employee, it means either you are in the training period or the probation period. Generally, in both cases, notice periods are different, which is compulsory to be mentioned in the appointment letter.
Notice Period Considerations
Coming to your query, yes, it is necessary to consider the notice period in full and final settlement. In your case, put in your resignation to the current employer, and you have three options:
1. You can serve the notice period as per your appointment letter.
2. You can request your current employer to waive off your notice period or adjust your leaves against the same and join the new company immediately.
3. You can pay the notice period and join the new company immediately with the consent of the current employer.
By doing this, you'll obtain an Experience Certificate, Relieving letter, and other support in good faith, which will help you in new upcoming employments.
I hope this satisfies your query.