Morsi rejected opposition calls for early presidential elections and said he would not tolerate any deviation from constitutional order, The Guardian reported on Sunday.
The Opposition groups have called for a massive demonstration against Morsi on Sunday, the first anniversary of his inauguration.
Morsi said that his early resignation would undermine the legitimacy of his successors – creating a recipe for unending chaos.
"If we changed someone in office who [was elected] according to constitutional legitimacy – well, there will people or opponents opposing the new president too, and a week or a month later, they will ask him to step down," he said.
"There is no room for any talk against this constitutional legitimacy. There can be demonstrations and people expressing their opinions. But what's critical in all this is the adoption and application of the constitution. This is the critical point."
At least seven people have been killed and more than 600 others injured in clashes between supporters and opponents of Morsi over the past few days.
An “unprecedented exodus” has been reported from Egypt. Officials say that all flights leaving for Europe, the U.S. and the Gulf are fully booked.
Egypt’s opposition groups have rejected Morsi's recent invitation for national reconciliation.