  In this paper, we examine the interactions of the top quarks with the $Z$
boson using the top quark pair production associated with neutrino pair
($t\bar{t}\nu_{l}\bar{\nu_{l}}$) at the LHC. In particular, potential
constraints on the anomalous electroweak top-quark interactions are determined
by considering two opposite-sign charged leptons, missing energy, and two
b-tagged jets in the final state. The analysis is performed for a High
Luminosity scenario of the LHC with an integrated luminosity of 3 ab$^{-1}$ of
proton-proton collisions at a center-of-mass energy of 14 TeV. The $95\%$
confidence intervals are computed on the anomalous couplings considering a
realistic detector simulation of an upgraded CMS detector including an average
of 200 proton-proton interactions per bunch crossing. We find that the
$t\bar{t}\nu_{l}\bar{\nu_{l}}$ channel can provide stringent bounds on the
relevant Wilson coefficients and has the potential to serve as an additional
handle beside the $t\bar{t}Z(Z\rightarrow l^{+}l^{-})$ and other channels to
search for new physics.
