Lee Briers and Paul Wood have played for the Wolves' partnership club already this year under the controversial dual-registration system and Harrison, who has been out for a fortnight with an abdominal muscle strain, is poised to run out for the Lions in Sunday's Championship match at Batley.
Morley is back in full training after being sidelined for three months with a torn bicep but will not be risked in Sunday's Tetley's Challenge Cup fifth-round tie against Salford at the Halliwell Jones Stadium.
The veteran prop, who turns 36 on Friday, is set to make his comeback a week later, either in the Super League game against Hull or with Swinton in the Northern Rail Cup.
"Mozza is not quite right for this week," Smith said. "I would expect him to be available for the next weekend.
"We'll have a look at who's available for us that week. If we have injuries to our props, he'll walk back in. We'll give Harrison a late fitness test but he's a fair chance of playing for Swinton this week.
"The only people I'll rule out playing for Swinton are the overseas players because they're not allowed. If they were allowed to play and they were coming back from injury, they'd also be available."
Briers played the full 80 minutes in Swinton's win over Whitehaven last Thursday and will be in Smith's 19-man squad for the Cup-tie against the City Reds along with brothers Michael and Joel Monaghan, who missed last Sunday's win at Huddersfield with leg and groin injuries respectively.
"Whether Briers makes the final cut I've still got to decide on," Smith said. "I've got to run my eye over the two Monaghan brothers got to run my eye over as well.
"Lee is better for the hit-out. He was really nervous about playing for Swinton but he really enjoyed it. Playing for another club was a big thing for him but he handled it really well and, if he's called upon on Sunday, he'll do a good job for us."