On Tuesday, the Haaretz newspaper cited the officer as classifying the planned transition a "sensitive process" that may "find us unready."
"The military has come to the understanding that cyberdefense needs to be handled differently than it is today," the outlet quotes the unnamed officer.
Eizenkot is quoted in the IDF's release as saying that the Israeli armed forces' new unit, currently part of the C4I (teleprocessing) Corps, is aimed at countering growing threats in cyberspace.
The final decision on the so-called cybercorps within the Israeli army is subject to Defense Minister Moshe Yaalon's approval.
The move comes two months after computer networks associated with the IDF were reported to have been hacked by Arabic-speaking programmers. Military officials denied to comment on the Blue Coat Systems Inc findings.
A separate attempt to carry out "electronic holocaust" by a member or members of the Anonymous hacktivist group failed this April, managing only to infiltrate the websites of a number of Israeli politicians.
Cyberattack attempts on Israel have been taking place annually in April since the November 2012 Israeli operation in the Gaza Strip.
Last year, hackers published the private data, including credit card, telephone and email information, of many Israeli citizens.