The 45-year-old signed an 18-month contract to manage Tottenham when he replaced Andre Villas-Boas after the Portuguese was sacked in December.
But he has been forced to put up with a wave of reports in recent weeks linking various managers, including Louis Van Gaal and Frank de Boer, with his job at White Hart Lane next season.
The former Norwich and Blackburn midfielder admits it has been an awkward time for him in the face of such widespread speculation and he is set to discuss the situation with chairman Daniel Levy at the end of the campaign.
"I'm not sure if it makes it untenable," Sherwood said. "We play West Ham and then we play at home to Aston Villa.
"After that I will sit down with the chairman and we'll decide what the plan is moving forward. And then we'll see if it's untenable or not.
"It was a strange situation, when a club has come out and said they've been spoken to and so has the manager and the club that I am working for is coming out and denying it.
"That's where we are with it and I'm no further forward with that. The people upstairs will know whether I'm good enough to take on this club and if I'm the person they want to take on this club. The next two games won't make any difference."
Sherwood, currently the manager with the highest Premier League win percentage, was asked what he thought about De Boer discussing the prospect of working at Tottenham next season.
"I don't think he is too interested in what I'm doing already because if he did he will see that he has got a hard act to follow," Sherwood said.
Sherwood refused to be drawn on whether he thought he should be treated with more respect, insisting stability would be key to future success and his focus was to ensure Tottenham win their remaining matches.
""It's something I've been used to be dealing with since I came into the job. What am I going to do?" he said. "I'm not going to roll up and die, I'm just going to get on with my job which is to try and prepare the team to win football matches.
"Daniel Levy wants the best for this football club. Always does. I've always felt that about him.
"He will make a decision based on what he thinks or based on what people are talking to him think is the best move for the long-term future of the club.
"I do think the next move has to be the long-term future. It cannot be someone in and gone again. Without stability you're never going to achieve anything.
"Whatever will be, will be at the end of that. I've just got to carry on with my business, show my personal pride and professionalism, and make sure that the lads are prepared to win for the team, for the fans and for this great club.
"What will happen at the end of the season? Who knows?