Drug delivery systems and thermoresponsive polymers are garnering more interest due to technological advancement. The synthesis, characteristics, and uses of stimuli-responsive polymers in drug delivery systems are discussed in this paper. LCST and UCST polymers, two subtypes of thermoresponsive polymers, are also discussed, along with their processes and biomedical applications. The paper also discusses the use of conventional nanofibers and stimuli-responsive nanofibers for drug delivery systems and the most recent developments in electrospinning technology. The article also analyses the difficulties facing drug delivery systems today. This paper makes the case that novel electrospinning technologies must be developed in addition to further research into drug delivery systems based on UCST polymers with strong biocompatibility and biodegradability.