Dajjal Will Not Be Allowed To Enter Four Masjids

I came across this hadith, and would like to know:

Is this Hadith authentic? Does it mean that Masjidul Aqsa will be protected from Dajjal i.e. that he cannot enter it?

Rasulullah (sallallahu ‘alayhi wa sallam) said:

“I have been warning you about Dajjal who has one abraded eye.” [The narrators] said: I think he said the left eye. “He will have with him mountains of bread and rivers of water, and his sign will stay in the earth for forty mornings. His authority will reach everywhere. He will not come to four Masjids: the Ka’bah, the Masjid Rasulullah (sallallahu ‘alayhi wa sallam), Masjidul Aqsa and the Masjid of al-Tur [Sinai]…”