A very frequently asked question is that can one apply for Fulbright if one is still studying (undergraduate or a graduate degree) or if one has graduated but not yet received the official degree or the final transcripts. The answer is, it depends.
If you are able to get your official degree and your final transcript from your university before December 31st of the same year as the Fulbright application deadline, then you may apply for Fulbright in the said year. So for example, if the deadline is 15th May 2020, then you can apply in 2020 only if you get your official final degree and transcript from your university before December 31st 2020.
In this case just send your partial or unofficial documents (transcripts etc.) with your application. If you will receive your documents later than December 31st then you will have to apply next year when the Fulbright reopens.