The stand was due to be ready for the first home game against Bournemouth last Saturday but opened with a reduced capacity with the upper tier unfinished.
Work has seen see the lower tier retained and refurbished with a new upper tier built above it.
Buckingham has stopped work on the site after filing a notice of intention to appoint administrators and Liverpool chiefs are waiting to see how the contractor’s situation pans out.
Liverpool FC chief executive officer Billy Hogan said: “Timing, obviously, is incredibly fluid right now, there’s a lot of uncertainty around where we are and obviously in time that will become more clear.
“We are in a bit of a holding pattern right now. But if Buckingham does enter into administration then we’ll need to address any delays that may arise from completing the new stand as a result of that.
“Obviously we will of course work with Buckingham and any other contractors who may be appointed in the future to retain as many of the existing jobs and expertise which have been a part of the project all along.”