It depends. It may be that more testosterone when you already produce "enough" - which is individual-dependent - won't give much additional strength if you aren't training specifically to take advantage of it. Additionally, hormones are complicated. The body will downregulate its own production when given "too much". I'm aware that bodybuilders have to follow certain treatment regimens and add other drugs to restart the body's production if they stop supplementing it at times.

You will still gain size and strength without training, but obviously training produces much better results.

https://pubmed.ncbi.nlm.nih.gov/8637535/