"We are not forming a trade union," he told reporters in Johannesburg.
"We are working with Amcu [Association of Mineworkers and Construction Union]. We are encouraging our members to join Amcu."
Malema said the focus was on building and strengthening the EFF, as the party was set to mark one year of existence.
"We have an organisation to focus on, we can't be all over the place."
EFF members were putting pressure on the leadership to form a union, but "we are telling them to relax and focus on building the organisation".
There was room for a trade union movement in the country, which was why Amcu was doing so well in the mining sector, he said.
The Breakfast with Martin Bester team has decided that they, like most S...Breakfast with Martin Bester 1 day, 14 hours ago
Join Jacaranda FM's Drive with Rob and Roz for the ultimate holiday in p...The Drive with Rob & Roz 1 month ago