The Robins have scored just twice in their opening three games and have been linked with moves for Millwall forward Dany N'Guessan and free agent Nile Ranger following the forward's departure from Newcastle.
"Our search for a striker continues," McCrory told the Swindon Advertiser. "We're hoping to bring one in this week to strengthen the front line, as we still only have two and most teams have four.
"We've spoken to various strikers over the potential of coming and strengthening the club, each with their own different backgrounds and unique individual abilities.
"We're trying to conclude the deals as quickly as possible, but we're moving sensibly to ensure they are the right type of strikers who will score the goals to aid our push for promotion this year."