The ministry tweeted that Dikshit met Rajnath Singh.
The meeting, coming a day after Maharashtra Governor K. Sankaranarayanan resigned, has given rise to speculation that the former Delhi chief minister might follow suit.
The UPA-appointed governors have constantly been under pressure to resign ever since the BJP government came to power in May.
After the Narendra Modi government took charge May 26, seven governors have resigned following the government's signals - B.L. Joshi (Uttar Pradesh), Shekhar Dutt (Chhattisgarh), Ashwani Kumar (Nagaland), M.K. Narayanan (West Bengal), B.V. Wanchoo (Goa), Vakkom B. Purushothaman (Mizoram) and K. Sankaranarayanan (Maharashtra).
Sankaranarayanan resigned Sunday after he was transferred to Mizoram on the intervening night of Saturday and Sunday.
The only governor to be sacked is former Gujarat governor Kamla Beniwal -- first transferred to Mizoram and then sacked Aug 6 for "misuse of power".