The bank forecasts that there is over $2 trillion of deleveraging in the United States and Europe, creating a financing glut for both struggling countries and countries in developed markets.
Islamic bonds, or sukuk, issuances have dominated the Gulf region in recent months.
In November alone, Bahrain and Indonesia mandated banks to issue sovereign sukuk while lenders such as Abu Dhabi Commercial Bank and Al Hilal Bank, wholly-owned by the Abu Dhabi Investment Council, have also begun the process of issuing an Islamic bond.
Turkish banks have also emerged on the scene with sukuk issuances, providing Gulf investors with a means to diversify geographically.
Islamic liquidity has also drawn interest from international players such as Goldman Sachs to create a $2 billion sukuk programme, following the success of HSBC Middle East's benchmark issue.
Deutsche Bank said the pipeline for foreign corporate issuance of sukuk could be strong going forward, given the fact that many European bluechips, struggling with the European debt crisis, are owned in part by Gulf-based sovereign wealth funds, creating opportunity to tap alternative funding.
"The Islamic credit market may represent a more feasible and shorter-term reality for the corporate space than for the sovereign space," said the report, led by Deutsche Bank analyst Ryan Ayache.
But sukuk will not be the only driver of growth. Deutsche Bank expects that mortgage financing, particularly in Saudi Arabia which is facing a housing shortage, could provide $100 billion in assets to the overall industry.
Retail banking, project finance and Islamic trade finance are also expected to show significant growth as the global Muslim population grows and the gross domestic products (GDP) of Muslim countries outpace global GDP.