  We put forward a pressure-parametric model to study the tiny deviation from
cosmological constant(CC) behavior of the dark sector accelerating the
expansion of the Universe. Data from cosmic microwave background (CMB)
anisotropies, baryonic acoustic oscillations (BAO), Type Ia supernovae (SN Ia)
observation are applied to constrict the model parameters. The constraint
results show that such model suffers with $H_0$ tension as well. To realize
this model more physically, we reconstruct it with the quintessence and phantom
scalar fields, and find out that although the model predicts a
quintessence-induced acceleration of the Universe at past and present, at some
moment of the future, dark energy's density have a disposition to increase.
