  General Relativity is known to produce singularities in the potential
generated by a point source. Our universe can be modelled as a de Sitter (dS)
metric and we show that ghost-free Infinite Derivative Gravity (IDG) produces a
non-singular potential around a dS background, while returning to the GR
prediction at large distances. We also show that although there are an
apparently infinite number of coefficients in the theory, only a finite number
actually affect the predictions.
  By writing the linearised equations of motion in a simplified form, we find
that at distances below the Hubble length scale, the difference between the IDG
potential around a flat background and around a de Sitter background is
negligible.
