In recent years, there has been a significant trend toward using large language model (LLM)-based recommender systems (RecSys). Current research primarily focuses on representing complex user-item interactions within a discrete space to align with the inherent discrete nature of language models. However, this approach faces limitations due to its discrete nature: (i) information is often compressed during discretization; (ii) the tokenization and generation for the vast number of users and items in real-world scenarios are constrained by a limited vocabulary. Embracing continuous data presents a promising alternative to enhance expressive capabilities, though this approach is still in its early stages. To address this gap, we propose a novel framework, DeftRec, which incorporates \textbf{de}noising di\textbf{f}fusion models to enable LLM-based RecSys to seamlessly support continuous \textbf{t}oken as input and target. First, we introduce a robust tokenizer with a masking operation and an additive K-way architecture to index users and items, capturing their complex collaborative relationships into continuous tokens. Crucially, we develop a denoising diffusion model to process user preferences within continuous domains by conditioning on reasoning content from pre-trained large language model. During the denoising process, we reformulate the objective to include negative interactions, building a comprehensive understanding of user preferences for effective and accurate recommendation generation. Finally, given a continuous token as output, recommendations can be easily generated through score-based retrieval. Extensive experiments demonstrate the effectiveness of the proposed methods, showing that DeftRec surpasses competitive benchmarks, including both traditional and emerging LLM-based RecSys.