  LHCb is already providing leading measurements of time-dependent CP
asymmetries with 1 fb$^{-1}$ of data. With the LHCb detector, and further one
with the LHCb upgrade, very high-precision time-dependent CP measurements are
expected to stringently test the CKM paradigm and to the search for possible
small NP effects. A review of the current precision and the prospects for these
time-dependent quantities with the LHCb and LHCb upgraded detectors are
summarised in this paper.
