Praise be to Allah, the Lord of the Worlds; and may His blessings and peace be upon our Prophet Muhammad and upon all his Family and Companions.
For sure, Muslims will end the Jewish entity on earth. It is reported in the two sound books of Hadith (i.e. al-Bukhari and Muslim ) from Abu Huraira (RAA) that the Prophet (Sallallahu Alaihi wa Sallam) said: "The Day of Judgement will not appear until you (Muslims) have had a fight with Jews, till a stone will call out: 'O Muslim! There is a Jew hidden behind me; come and kill him."
In Muslim 's narration: 'the Day of Judgement will not appear till the Muslims have had a fight with the Jews, till the Jews (in fear of Muslims) seek shelter behind a rock or a tree and the said rock or tree will call out: O Muslim! O slave of Allah! Here is a Jew hidden behind me, come and kill him. But, the throny tree called al-Gahrqad will not do so, for it a tree of the Jews.'
Apparently, this is a general situation i.e. not specified for Palestine.
Then, it is not possible to specify some time in this concern, since according to the Sunnah.
It is a sign of the nearness of the Last Hour of this world. Know that victory of Muslims over Jews will not take place before Muslims adhere to their religion in word and in deed.
As for the conquest of Rome, it is recorded by Ibn Abu Shaibah, al-Darimi, al-Hakim and Ahmad from Abdullah Ibn Amr Ibn al-A'as who said: 'while we were sitting with Allah's Messenger (SAW) and we were engaged in writing, Allah's Messenger (SAW) was asked: 'Which city will be conquered first, Rome or Constantinople?' Allah's Messenger (SAW) said: "The city of Heraclius will be conquered first"
There is no indication in the Hadith about the time of such conquest. But, it is better to be a secret; otherwise, Muslims will not work hard and do their best for the sake of their Lord and religion.
Allah knows best.