The firm is on course to achieve the partial and temporary early opening of The Grange University Hospital at the end of this month.
The Welsh Government released £10m of extra funding to speed up construction of sections of the Grange, which will provide up to 350 extra beds for use in the Newport area by the end of April.
A spokeswoman from Aneurin Bevan University Health Board said: “The challenges facing our Health Board and the NHS in Wales due to Coronavirus COVID-19 is unprecedented.
“With the support of Welsh Government and Laing O’Rourke we are pleased to announce that plans are being put in place to enable the partial and temporary opening of The Grange University Hospital, as part of our planned response.
“Work is now underway to commission areas of the hospital to meet the end of April deadline.”