The Australian cricketer has confirmed the couple - who have been engaged since 2011 - are going through a difficult time, but denies speculation they have called time on their three-year relationship.
He wrote on Twitter this morning (18.09.13): ''Some of the reports re EH & me r absolute rubbish. Yes we're sorting through some (private) issues. But we're not throwing the towel in yet (sic)''
Meanwhile, Liz side-stepped rumours of a rift between her and Shane, 44, telling her 400,000 Twitter followers the matter was ''too raw and personal'' to discuss.
She wrote: ''Apologies to loyal followers for Twitter silence on recent events. Too raw & personal to share right now. (sic)''
The 48-year-old beauty reportedly ended her romance with sportsman Shane because their conflicting work schedules put a strain on their relationship.
However, new reports suggest the 'Gossip Girl' star recently discovered her fiancé - who splits his time between England and his native Australia - has been getting close to his ex-wife Simone Callahan.
A source said: ''Liz found out he had been over at Simone's house a lot. She seemed to get the idea that something more than friendship was going on.''
Shane ended his 10-year marriage to Simone - the mother of his three children, Brooke, 16, Jackson, 14, and 11-year-old Summer - in 2010 and quickly began dating mother-of-one Liz, who has an 11-year-old son, Damian.
The actress spoke about raising her 11 year old daughter Matilda in the wake of Heath Ledger's death eight years ago.