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The Scot has made just three signings since his appointment at the London Stadium in November.
In January, the Hammers landed 25-year-old striker Jordan Hugill from Championship side Preston North End for £8million, signed Portuguese midfielder Joao Mario on loan from Inter Milan and brought in Patrice Evra on a free.
It is widely understood that co-chairman David Sullivan holds a big influence over West Ham’s transfer business – something fans are desperate to see changed following a run of disappointing transfer windows.