"We are absolutely in a relegation fight, we have to get to 40 points, at least," Smith told the Daily Echo.
"Everyone at the club knows that and we will be working hard to get there as quickly as possible in the next few games.
"Our past three games have all been against tough teams but we have to look forward to the next five now. They are all big for us and we have to get some wins."
Smith said his form at the club dipped at the start of the calendar year but has improved since Bournemouth went on a five-game unbeaten run last month.
The 25-year-old, however, suffered a foot injury during the 4-0 defeat at White Hart Lane last weekend and is hopeful that it will not sideline him for the rest of the season.
"I have been playing better since we started our unbeaten run (in March)," he added. "I have been working well with Wee Man (Ryan Fraser) and have felt better.
"I didn't feel great in the game at Spurs once I was injured but, hopefully, next week, I will be able to keep going."
(Reporting by Hardik Vyas in Bengaluru; editing by Sudipto Ganguly)
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