The development follows allegations in Victoria that bikies and organised crime figures had infiltrated the Victorian branch of the Construction, Forestry and Maritime Employees Union (CFMEU).
Mr Miles said he has instructed Police Commissioner Steve Gollschewski to liaise with his Victorian counterpart on their investigation and how it may filter north.
Steven Miles says he would support the federal government if it decides to review CFMEU agreements. (Jono Searle/AAP PHOTOS)
There are no current active complaints against the CFMEU in Queensland, the premier said.
"He will report back to me the outcomes of that conversation and if there are any matters that should be investigated here in Queensland, then they will be," Mr Miles told reporters on Tuesday.
"I have also spoken to the state secretary of the Labor Party and confirmed that while the CFMEU has not donated to the Labor Party for some time, we will not be accepting donations from the CFMEU while this cloud, while these allegations are being investigated."
Victorian Premier Jacinta Allan has requested the ALP national executive suspend the union's construction arm from the state Labor party, and to end acceptance of donations.
Ms Allan has also sought a review of all CFMEU enterprise bargaining agreements.
The Queensland government would support a review of the enterprise bargaining agreements if federal workplace relations minister Tony Burke determines that it is appropriate, Mr Miles said.
"I understand Tony Burke is considering what action is appropriate and if he determines to take that action we would support it."
Both the Victorian and South Australian branches of the union have been placed into administration by the national office after allegations of criminal behaviour and bikie gang links, with the claims to be independently investigated.
On Tuesday, CFMEU construction workers held protests at Cross River Rail sites across Brisbane after enterprise bargaining agreement negotiations broke down with the project's lead contractor.
Workers are calling for an effective heat policy, a clause to prevent labour hire exploitation and industry standard rostered days off.
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