Conny trad in 1990 in dienst bij Unilever als Product Manager Unox & Cup-a-Soup en bekleedde verschillende posities in marketing, sales, communications en general management.
1990 – 1996: Product manager Unox & Cup-a-Soup, Unilever Nederland
1996 – 1998: International & National Marketing Manager, Unilever Nederland
1998 – 1999: Trade Category Manager, International & National Marketing Manager, National Account Manager, Unilever Nederland
1999 – 2002: Marketing Director Business Unit Spreads & Cooking Products, Unilever Nederland
2002 – 2004: Vice President Business Unit Spreads & Cooking Products, Unilever Nederland
2004 – 2006: Vice President Corporate Communications & Sustainability, Unilever Europa (in Rotterdam)
2006 – 2010: Vice President Brand Building Foods, Refreshment, Home Care & Personal Care, Unilever Spanje (in Barcelona)
2011 – 2016: Senior Vice President Food Solutions – Asia, Africa, Middle-East, Unilever Food Solutions (in Singapore)
2016: General Manager Unilever Benelux, National Manager Unilever Nederland