Football League clubs had up to 5:00pm on Thursday to complete any emergency loan deals before the window slammed shut until the start of January.
Parkinson managed to sign up West Ham United defender Reece Burke to a fresh loan contract extension with the Bantams this week, whilst the City chief also recently added Jordan Bowery to his attacking arsenal on loan from Rotherham United.
This Saturday's opponents, Walsall, chose not to use the loan market on deadline day as well, although former Bantams striker Oliver McBurnie did complete a one-month deal to Newport County from Swansea City.
Parkinson said: "We needed cover in all areas, and bringing in Jordan and Reece gives us that.
"Although Reece still has a slight injury problem, he is a key signing for us.
"We have to be strong in our squad. We wanted to make sure that we were confident we had the players to step in should anyone get injured during a game or during the week.
"We certainly have that within group now. You only have to look at how well Nathan Clarke and Greg Leigh have done since they came into the side.
"Josh Morris is one player who could end up doing similar.
"He is waiting patiently for his chance, like Nathan and Greg did, and he could be another player who gets into the team and never comes back out again.
"Josh is one of a few players we have like that within the squad at the moment - competition for places is always healthy for a football club."