Deputy Prime Minister Najib Abdul Razak, who is Umno acting deputy president, also warned members not to indulge in activities that may tarnish the party's image.
"With the strong mandate given by the people to Umno and Barisan Nasional (BN), they certainly expect us not to be carried away with the party election so much so that (we) forget (our) task ...," he was quoted as saying in a Bernama report.
The party election, where contests for key posts are expected, is scheduled for September.
Najib also reminded Umno members who are vying for party positions to adhere to election ethics.
"Anyone wanting to contest must adhere to the election ethics that we have clearly outlined," he told reporters after a function in Kepala Batas, Penang.
"If there are complaints, they will be referred to the party disciplinary committee and those found guilty will face action," he said.
Najib, who took over the duties of Umno deputy president in January, is also the chairperson of the party's disciplinary committee.
He said the party leadership was firm on the matter of discipline and wanted Umno to be free of corruption, money politics and power abuse.
He said Umno had already proven in the past that it could take disciplinary action against party leaders, whether at the divisional or central levels, for breaching election ethics.