  By starting with a two-fields model in which the fields and their derivatives
are nonminimally coupled to gravity, and then by using a conformal gauge, we
obtain a model in which the derivatives of the canonically normalized field are
nonminimally coupled to gravity. By adopting some appropriate functions, we
study two cases with constant and E-model nonminimal derivative coupling, while
the potential in both cases is chosen to be E-model one. We show that in
contrary to the single field $\alpha$-attractor model that there is an
attractor \textit{point} in the large $N$ and small $\alpha$ limits, in our
setup and for both mentioned cases there is an attractor \emph{line} in these
limits that the $r-n_{s}$ trajectories tend to. By studying the linear and
nonlinear perturbations in this setup and comparing the numerical results with
Planck2015 observational data, we obtain some constraints on the free parameter
$\alpha$. We show that by considering the E-model potential and coupling
function, the model is observationally viable for all values of $M$ (mass scale
of the model). We use the observational constraints on the tensor-to-scalar
ratio and the consistency relation to obtain some constraints on the sound
speed of the perturbations in this model. As a result, we show that in a
nonminimal derivative $\alpha$-attractor model, it is possible to have small
sound speed and therefore large non-Gaussianity.
