There are also rumors that Eva Högl, Commissioner of the Bundestag for military affairs, is being considered as a candidate.
Earlier, Bild, citing a source, reported that German Defense Minister Christina Lambrecht would soon leave her post.
The German Cabinet declined to comment on reports of Lambrecht's resignation.
According to media reports, German Chancellor Olaf Scholz has problems finding a candidate, as he promised at the beginning of his term that at least half of his government team would be women.