  The observed discrepancy of the Hubble parameter measurements in the local
universe with the CMB data may indicate a new physics. It is vital to test the
alternative models that reconcile the Hubble tension with other cosmological
observations in this direction. The CMB lensing is a crucial observation that
relates the early universe perturbations to the matter's late time
distribution. In this work, we study the prediction of the \"u$\Lambda$CDM as a
probable solution for $H_0$ tension for CMB lensing. We show that this model
relaxes the CMB lensing tension and $H_0$ tension simultaneously. Accordingly,
\"u$\Lambda$CDM having the same amount of free parameters as $\Lambda$CDM with
lensing amplitude $A_L$ added, has a better fit with $\Delta \chi=-3.3$
