The Canaries are just four points off the drop zone following a poor run of only two wins from 15 league matches.
However, Chris Hughton's beleaguered squad are now heading into a series of games against sides around them in the table, starting with Saturday's visit of Sunderland, which could put clear daylight between themselves and the bottom three.
Hughton spent the best part of £20million over the summer to improve the squad, with the purchases of Dutch internationals Ricky van Wolfswinkel and Leroy Fer, experienced Sweden campaigner Martin Olsson and promising England Under-21 winger Nathan Redmond.
Norway midfielder Tettey accepts things have just not gone to plan.
"I agree we probably did not expect to be in this situation," said Tettey, who returned from a three-month injury lay-off at the start of the year.
"Last season we had guys who, if you compared them to the ones who came in, are not what you would describe as high-profile players, (so) I think we should do better this season if you compare the squad we have now.
"What can you say? You have to be realistic. As a group and a team we know what is going on. We know where we are.
"We have to look forward and not dwell on what happened in the past because that is gone."
Hughton felt the full ire of the Canaries' away supporters following last weekend's 4-2 capitulation at Southampton.
Tettey maintains Norwich must all stick together to start to climb the table.
"What we don't need is any negativity around us because as soon as we have that we will not think positively," he said.
"We want the people of Norfolk to be happy. We are trying to perform at our maximum, but we have to perform better than last Saturday."
Norwich's final four games are against Liverpool, Manchester United, Chelsea and Arsenal, so they need to close in on safety sooner rather than later.
Hughton is confident his players will eventually get their rewards.
"We are aware of the size of each game between now and the end of the season," he said.
"It will take a huge effort from myself, the players and the club.
"The players have showed character and there is plenty in that changing room, but it has to be aligned to having the quality to do the job, maybe get a touch of fortune that is needed, and you can certainly look back at some performances where we deserved better results."