The changes to extend presidential terms are part of amendments initially introduced in February by a parliamentary bloc supportive of Sisi and updated this week after several rounds of debates.
"He can be re-elected for another (six-year) term." MPs approved other sweeping changes to the constitution including allowing the military a greater influence in Egyptian political life as well as granting Sisi greater control over the judiciary.
The amendments are expected to be put to a public referendum later this month. Critics have slammed the amendments as "unconstitutional".
Last week, Human Rights Watch said the changes would "institutionalise authoritarianism".
Egypt's parliament, which is packed with Sisi supporters, was elected in 2015.
He was re-elected in 2018 with more than 97 percent of the vote, after standing virtually unopposed.
Under Sisi, Egypt has drawn wide international criticism for its sweeping crackdown on dissent including Morsi's Islamist supporters as well as secular and liberal activists.
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