Shittu was cut loose from his Trotters deal on transfer deadline day.
"We are hoping to bring him up and have a look," Lennon confirmed. "I'm just worried about squad congestion as well, so we are talking about that at the minute. If he comes up here, then we will have a look at him and that's great. If not, then we will go with what we have.
"We would like to see him, to see his level of fitness. But he has been playing for Nigeria, and was at the World Cup as well, so I don't think that will be a major issue. We'll talk to his representatives over the next few days and see where we go with that."