The Serbian looked a weary figure in his second match in London on Wednesday as he lost to Murray's opening conqueror David Ferrer in straight sets.
His agent Wagner Ribeiro told BBC Radio 5 Live the deal could be completed in the next two days which may mean Robinho would be available for Chelsea's match against London rivals Tottenham on Sunday.
"Our total commitment to this year's Heineken Cup competition is writ large across every billboard in London promoting our match against Leinster at Wembley on 16 October, " Griffiths added.
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There was plenty of high-class tennis to enjoy in London's O2 Arena on Sunday despite this match acting as a taster for the evening's main event between Roger Federer and Rafael Nadal.
The squad will arrive in London on Tuesday ahead of Sunday's warm-up match against Harlequins.
Roddick, who has described the tour schedule as "ridiculous" and has yet to qualify for next month's World Tour finals in London, withdrew from his match against Stanislas Wawrinka with a knee injury on Tuesday.
The Baa-Baas will play England at Twickenham, west London, on May 26 before flying to Hong Kong for the Lions match.
London Irish and Harlequins will meet in a rehearsal for their opening Zurich Premiership match on 4 September.
The Crusaders' National League Two campaign opens on Good Friday, 6 April, with an away fixture against London Skolars, while their first home league match of the season is against Blackpool Panthers on Easter Monday.
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The Irish province will travel away once more in the semi-finals with the Millennium Stadium in Cardiff the venue if the Ospreys win their match against Saracens, while Coventry's Ricoh Arena will host the semi if the London side win on Sunday.
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