Former Great Britain boss Noble, 52, has been without a club since quitting Crusaders at the end of 2010, while Australian Smith, 59, has recently been working in rugby union after losing his job at Sydney Roosters last year.
"I don't want to talk names but those that have been bandied around are not too far off the mark," Farish told Press Association Sport.
Interim coach Alan Hunte, placed in temporary charge following the decision to sack Veivers five matches into the season, is also on the list.
Noble is expected to watch the City Reds in action against St Helens at Langtree Park on Friday while Farish confirmed that Salford's ambitious new owner Marwan Koukash has made contact with Smith.
Smith, the older brother of Warrington's former England coach Tony Smith, has coached at Hull and Bradford as well as Illawarra, St George, Parramatta and Newcastle.
"The shortlist is still being put together but we've started to talk to people now," Farish added. "I think we're talking weeks rather than months.
"We're getting closer but it's important that we get the right person."
No announcement is expected until director Andrew Chalmers and director of rugby Graham Lowe arrive back from New Zealand in mid-April.
Meanwhile, the City Reds have suffered a major blow with the loss of Australian forward Shannon McPherson for around six weeks with a knee injury.