"It's going to be tight," he said. "From Hull down, we are all in the mix. West Ham are climbing out which is good but, the rest of us, I wouldn't like to pick a bottom three. It's going to be very tight, I think it will be exciting stuff.
"The games are so close, everyone is scrapping away. If you said when I walked through the door that we would be sitting here with 21 points I would have taken it. We had two points from eight games, if you took the points since then, it is top half form.
"It's not been that bad, you have to look at the whole picture. If we were that good, we wouldn't have had two points."
Having brought Jermain Defoe back to White Hart Lane in a deal that is worth £19 million, Redknapp gained an initial reward on Sunday with the England forward's first goal since his return. "It was a great finish – he will score goals for sure," he said. Defoe was booed by the Portsmouth fans and showed little restraint in his celebrations for the equaliser.
"It meant a lot," he said. "It would have been nice to have got the three points but we're fighting at the minute. It's tough down there.
"Hopefully I can score a few more and push us up the table. The fans were fantastic. I can understand that I was going to get a bit of stick – that is football."
Redknapp, though, felt his team should have gone on to win the game. "We had chance after chance – you are never going to get a better chance to win a football match," he said.
"But I thought we showed great character today. When we went 1-0 down, I thought we would see what we were made of. You try playing at home and going 1-0 down. I've been in these situations and seen a million players over the years who suddenly go under when things are not going well. But we didn't, we showed character, we came back at them stronger than ever and we pushed on and got the equaliser.
"There was only going to be one winner in the end – they were holding on for grim life at the end.
"Michael Dawson gives everything in every game he plays, fantastic competitor. Luka Modric was fantastic, unbelievable character, riding tackles. He was a lion, the little man. He showed he can do the lot, when we needed him, he carried the game to them and I thought Woodgate and Dawson were fantastic. They showed terrific character."