Morsi told a Cairo rally there would be "no more injustice or corruption in society" and "we shall no longer be submissive to the West" if he wins in the June 16-17 runoff, al-Arabiya reported Thursday.
He also vowed to create equal employment opportunities and medical care for all, the network said, quoting a report by Egypt Independent.
Morsi won 24.77 percent of the vote in the first round of elections in May and will face former Mubarak ally Ahmed Shafiq in the runoff.
Egypt's Supreme Constitutional Court said Wednesday it will consider next Thursday the constitutionality of the political isolation law that may disqualify Shafiq, the network said.
The political isolation law was adopted in April to bar top Mubarak-era officials from running for president. Shafiq served as prime minister under ousted strongman Hosni Mubarak.