Looking at Ziman's Principles of the Theory of Solids, section 2.10 he tells us that a first principles calculation of the coefficient of thermal expansion (α$\alpha$) is difficult, so he gives a phenomenological one the end result of which is that α is proportional to the specific heat at constant volume, Cv$C_v$.
In the Debye model, Cv$C_v$ is inversely proportional to the speed of sound in a solid. Taking this one more step, the speed of sound in a solid is proportional to the Young's modulus of the solid, which is related to the bond strength.
Thus: $$\alpha \propto C_v$$ $$C_v \propto \frac {1}{c_s}$$ $$c_s \propto \sqrt{Y}$$ And therefore $$\alpha \propto \frac{1}{\sqrt{Y}}$$ Where Cs$c_s$ is the speed of sound in the solid and Y is Young's modulus.
Thus the coefficient of thermal expansion is approximately inversely proportional to the bond strength, which agrees with what you have been told. So that is correct.
Perhaps if you could share more about what contradictory information you've read, that might be helpful.