It is understood both Scunthorpe and Fleetwood have identified Wright as their top defensive target, and are hopeful of concluding a deal to sign him on loan until the end of the season - although two of the Blades' local rivals, Doncaster and Barnsley, could yet make moves.
Wright has 18 months left on his contract at Sheffield United, whose first team he last appeared for in April - largely due to injury.
And the 32-year-old's manager, Chris Wilder, admitted to BBC Radio Sheffield on Monday morning that some players not in his regular 18 could leave on temporary or permanent deals in the early New Year.
And that experience could be particularly helpful to Barnsley, Doncaster or Fleetwood, who are all competing for promotion from the third tier - which Scunthorpe are fighting to stay in.
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