Hey Bernardo. Here's a link to daily and 15 day running avg Nino indices based on the same OISSTv2 dataset used by the NOAA CPC to monitor weekly and monthly SSTs in the Nino regions. The plots are similar to the Tropicaltidbits CDAS Nino indices. Click on the "OISST" box near the top of the page and then scroll to the bottom for the SST anomaly plots. Nino indices based on the Coral Reef Watch (CRW) dataset are also available. Daily values can be quite noisy/volatile. However, as Nat mentioned, can be useful in monitoring recent chages.

https://cyclonicwx.com/sst/

NOTE: OISSTv2 data are not used for NOAA's official Ocean Nino Index (ONI). The ONI is based on monthly ERSSTv5 data with centered base periods, which can run a little cooler than OISSTv2 data.