foliations - Foliated bundles and suspensions

Hi,

Is there any criteria, except for the existence of a flat connection, for a foliated bundle $E$ to be a suspension ( a foliated flat bundle)? For example, the Kronecker foliation on the torus is a suspension $mathbb{R}times_{mathbb{Z}} mathbb{S}^1$ , i.e. its of the form $Mtimes_Gamma F$, where $Gamma$ acts freely and transitively on the manifold $M$ and there is a free action $rho: Gamma rightarrow Diff(F)$.

Note: The Kronecker foliation is induced by the vector field , $a frac{partial}{partial x} + b frac{partial}{partial y}$ on $mathbb{R}^2$ with $a,b$ constants.
The action of $mathbb{Z}$ on $mathbb{R}times mathbb{S}^1$ is given by:

$(r, exp{iz}).m= (r+m, exp{(iz+malpha)})$ for some $alpha in mathbb{R}$.

Thanks

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