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Capturing the contextual information in multi-scale is known to be beneficial for improving the performance of DNN-based speech enhancement (SE) models. This paper proposes a new SE model, called NUNet-TLS, having two-level skip connections between the residual U-Blocks nested in each layer of a large U-Net structure. The proposed model also has a causal time-frequency attention (CFTA) at the output of the residual U-Block to boost dynamic representation of the speech context in multi-scale. Even having the two-level skip connections, the proposed model slightly increases the network parameters, but the performance improvement is significant. Experimental results show that the proposed NUNet-TLS has superior performance in various objective evaluation metrics to other state-of-the-art models. The code of our model is available at https://github.com/seorim0/NUNet-TLS