The England and Wales Cricket Board (ECB) recently cleared the tour after a security delegation visited Bangladesh and held various meetings with the officials of the board and the government.
However, Morgan stated that he is yet to think about the tour and is relieved that the ECB has given the players ample time to make their decisions.
“I would certainly like to think probably within a couple of days after that, there will be something definitive.
“I have not made my mind up. I will be taking as much time as I need.
“I would say in a short space of time it is a difficult one.
“But we have certainly been given the time by the ECB, which helps.”
When the security issues first arose after the unfortunate terrorist attack in Dhaka in July, Morgan was among the first players to publicly state that there were concerns regarding the tour.
However, though Morgan currently refused to say that he was reluctant to go on the tour, he added that the players will need as much time as possible to make their decisions after the briefing led by Reg Dickason.
“Reluctant isn’t the word.
“I think when so much information is thrown at you within two months of a terrorist attack you need to digest everything and be settled within yourself so you can go there and concentrate on cricket.
“We are in the middle of a series.
“We have not had a great deal of time to think about it - we have played a number of one-day games, and have not had a great deal of downtime.
“I think we will take as much time as we need to make a decision, to feel comfortable and to feel safe.”
Dickason, who is the security advisor of the ECB was a part of the three-member delegation also consisting of John Carr, the ECB cricket operations director and David Leatherdale of the Professional Cricketers' Association.
As per the original schedule, England are scheduled to fly to Bangladesh on 29th September for the tour which gets underway with the three-match One-Day International series.
Currently England are playing Pakistan in a five-match ODI series and on the verge of pushing for a 5-0 clean sweep after winning the first four games.
© Cricket World 2016